Due to the heated debate in this thread Poll - Is Switch a 9th gen console? (and many others on this site) regarding whether the Nintendo Switch should be looked at as a "console with portability" or a "handheld that can connect to a tv", I thought it would be interesting to see how 3rd Party software developers have handled the Switch.  Here is a comparison of major 3rd party multiplatform releases, and how the developers handled them as console or handheld ports.  The games are not listed in any particular order.  In the cases of series, I did group them together in order of older to newest.  If a platform had been either discontinued or not released yet at the time the software was released, I listed that platform as "N/A" (not-applicable).  I was going to put a column for the Wii U, but decided against it, because it is well known that 3rd Party developers mostly abandoned developing for the Wii U about 13 months after the console was released.

As you can see in the FIFA section of the chart, EA made a specific decision to stop releasing handheld versions of FIFA after FIFA 15 released in September 2014.  But when the Nintendo Switch launched in March 2017, it received a console port of FIFA 18 just like the PS4 and XBox One. 

As for the NBA 2K series, I had to go all the way back to NBA 2K13 to find a handheld version for the PSP.  2K Sports stopped releasing a handheld port of NBA 2K after that version released in 2012.  The 3DS and the Vita did not get a single port or version of an NBA 2K game.  But, the Nintendo Switch has received the same console port as PS4 and XBox One every year since the Switch released.

When Assassin's Creed III released in 2012 for the Wii U, PS3, and XBox 360, the PlayStation Vita handheld received the spinoff title "Assassin's Creed III: Liberation" instead.  In 2019, the Nintendo Switch received Assassin's Creed III:  Remastered along with the PS4 and XBox One.  

The same situation occurred with the release of Call of Duty: Black Ops II in 2012.  The WiiU, PS3, and XBox 360 all received the home console version.  Meanwhile, the PlayStation Vita received Call of Duty: Black Ops Declassified.  The game was set between Black Ops and Black Ops II, and received extremely negative reviews.

All of this tells me that 3rd Party developers have been treating the Nintendo Switch as a home console when it comes to porting their software releases.  A home console that has the advantage of being able to be seemlessly taken on the go.  Even though the Switch ports have in instances had some concessions made, the Switch has not received the handheld spinoff titles that previous handheld devices have normally received in place of home console versions.

The Switch is a hybrid by its nature, yes.  But, there are far too many people who vehemently try to peg it as "just a handheld with t/v out functionality".  There are charts that prove that Switch owners use the docked and hybrid mix more than those who only ever play it in handheld mode.  The Switch Lite, which was heralded as "proof that the Switch is a handheld" since it can not be docked, has not sold more than the OG Switch.  When the Switch is sold out, it is typically the docked models that get bought up first.  If I recall correctly, sales reports for the Switch hardware sales boom from the early months of COVID-19 and Animal Crossing release went out of their way to mention that it was excess unsold Switch Lites that helped keep the Switch from running out of stock sooner than it would have.

Please discuss why you do or do not believe the major 3rd party multiplat releases on the Switch lend more to a view of the Switch as home console/portable hybrid than a "handheld with t/v out".

To be honest, I never understood the point in calling it a handheld with TV output. It's both, plain and simple. It depends on how you use it, and going by the charts you've already mentioned, gamers use it as both. I don't know why this is so hard to understand.

And same goes for 3rd parties, the Switch saw home console games like Doom as well as handheld games like Disgaea. I think it's a healthy mix.

I appreciate the Switch's easy portability when traveling, but when I'm at home, it stays in its dock and I use it on my TV with the Pro controller. I consider it to be a home system that has portability with the exact same games as a bonus, which is what I've always wanted from the market.

Who cares. Whether they have or not tells me nothing about the quality of support. You can have good third party support on a handheld (I.E. Square Enix and Atlus's support of the DS for example), or bad third party support on a console (I.E. the Wii U). In addition, the publishers being mentioned in the OP mostly focus on the home console games anyways. And they're western publishers. It would be like saying Bravely Default 2 is a sign that the Switch is a successor to the 3DS . It's not even that the base conclusion is wrong, it's just that the way you came to it is flawed.

I mean, you could easily just say the mobile shovelware which clogs the eshop makes the Switch more comparable to a portable, or even a phone, but you'd be stupid for saying that.

Because it is xD

Intention wasn't really to be mean. 

Yes, that's my point.  Publishers who primarily ignore handhelds and focus on home consoles are publishing their home console games on the Switch. 

As for Bravely Default 2, it's not uncommon for a release in a series to switch back and forth between handhelds and consoles.  Luigi's Mansion went from Gamecube (home console) to Luigi's Mansion 2 on 3DS (handheld) back to Luigi's Mansion 3 on Nintendo Switch (hybrid).  I'm not arguing that Nintendo treated the 3DS as a home console because they released the sequel of a home console game on it.  And, all video game systems have shovelware as a fact of life.  "Life of Black Tiger" is on both PS4 and mobile.

The Switcher 3 package has "play on an enormous world on the go" or something like that written on it. Some definitely treat it more as a portable unit, because the games seem more appealing like that.

The portability is a selling point of the Switch; it's supposed to be a system that more or less works just as well either on your TV or as a portable without having to buy two separate game libraries or add-ons like the Super Game Boy or the Game Boy Player. So you can take Switcher 3 with you or play it on your TV. Since Witcher 3 isn't going to look as good on the Switch as it does on PS4, X1, or PC, that's not a bad angle for CD Project to take to sell it to Switch owners. I own Switcher 3 and mostly play it on TV in the dock.

Considering most ports are justified by the portable nature of the Switch, I'd say a tablet, but in the end it's irrelevant. As long as it gets the games, it doesn't matter whether you call it home console or handheld. The only cases in which does matter are the handful of games that can't be played in both modes.