Take my opinions with a grain of salt because I've never owned a PS2. It was one of the earliest consoles I played on, but not near as much as GameCube and some others.
Switch has
-One of Nintendo's best, very likely its best, first-party lineups
-The hybrid form factor. You can play Switch anywhere
-Third-party ports and multiplats like Stardew Valley, KOTOR, and Persona.
Don't see how PS2 can beat that in quality.

I owned both and I can say that spend a great time playing these systems. Obviously, there are strong and weak aspects on each one, but the thing is, on Switch its disvantages compared to the competition are insignificant to me while on PS2 one charateristic took away some of my affection:

The lacking local mutiplayer support. To have 4 players you would need a peripheral (multitap), yet there were pratically any significant game that supports more than 2 players.

PS2 wins. Bigger leap in graphics and game size for PS2 than it did for Switch. The PS2 had so many exclusives that are still made to this day

Nostalgia is one hellva drug.... I still have really fond memories of my days with the PS2.
I think it still egdes it out for me.

However, I think the Switch is right up there, as likely the 2nd best of all time.
I love platformers and rpgs, storytelling, puzzle games, and the Switch has alot of offer there.

I can agree on this.

Besides the nostalgia part, i only played a handfull of ps2 games when i whas a kid and now iam playing all the ps2 games i could never play, just beat star ocean till the end of time and that game has more charm then most modern jrpgs i played.

Maybe we can all agree on this.

Ps2 in its time whas the greatest console ever.

The switch in its time whas a really good console.

They both win,they are both legendary and will both be rememeberd till out genn dies out.

A large chunck of nintendo's game output where ports of older games,does that really count as a switch gen game?(not to me)

Funny how you mention third party support,you know THE thing ps2 is known to have a hugr library of exclusive third party games never to be seen ever again.

And persona...perona 3 and 4, and about 5 smt exclusives not to mention to massive amount of exclusive jrpgs.

At the end its just a opinion i know,but the switch doesnt even come close in terms of that genn games(again a wiiu game that got ported to the switch is NOT a switch era game)

Speaking of PS2. I just got a Retro Fighters Defender controller. I hate the PS1/PS2/PS3 controller. This thing tho feels great and will be perfect when the 3 games I got off eBay come in. Psi Ops. Appleseed EX and Ghost in the Shell. I would like to get more like Shadow Hearts: Dawn of a New World. Chain Dive. Project Arms and a few more, hopefully this year. It's fun to revisit old-school action games esp hidden gems. That's what interests me most about PS2 are the hidden gems. This is why I love Saturn so much is the Japanese library is loaded with gems. That's how I rank a console. Less what it's front loaded with tho that is important, but what is on the backend. It's why I rank N64 below Saturn. N64 is well front-loaded, but after that, it's slim pickings. Saturn has some great first party but is loaded with 3rd party offerings in Japan. 

PS2 is excellent for this, and so is the Nintendo Switch. I have 160 physical Switch games, and most are third-party. Not ports of big PS4 games or something but hidden gems. 

1) Yes.

2) That is an assumption that doesn't take into account that a PlayStation or Xbox owner has much higher chances of owning a Switch for portable indies + Nintendo games, than a Xbox or GameCube owner had of also owning a PS2 back then.

3) Literally every 3rd party game was inferior on the PS2, and it got even worse once the next generation started and next gen games kept being ported to PS2 and Wii. At least when you play 3rd parties on the Switch you can play anywhere because it's a handheld, there are no advantages of playing multiplatforms on the PS2.

4) LOL. LMAO even. The Switch was a massive leap from the PS Vita, the PS2 was not even a leap from the Dreamcast, and got outclassed in the very next year by more powerful consoles.

5) It also had worse online, with no other features other than that, and you had to buy an adapter, which is technically a paywall. I never played online on the PS2 because I never had that adapter.

6) Not like that matters to the paying consumer, because you could only play official PS2 media, otherwise it was piracy. But it was much easier to pirate games there, if that's the argument you're trying to make. And btw, PS2 used proprietary media to save games, the Switch doesn't, and THAT actually matters to the paying consumer.

7) Fair point, although the backwards compatibility was removed on the Slim model, and I could never understand why the PS1 disks never worked on my PS2 even though I always heard it should be compatible.

My PS1 games play on my slim.

Oh, my bad, I was spreading misinformation, then. But I found out the PS2 backwards compatibility wasn't perfect, and even less so in the slim model: https://web.archive.org/web/20231126161836/https://en.wikipedia.org/wiki/List_of_PlayStation_games_incompatible_with_PlayStation_2