Did having EA games hurt the PS4?  Does having shovelware like 1-2-Switch hurt the Switch?

Like them or not, EA games are generally very popular and the general public does not consider them shovelware.  It would only help Nintendo to have EA titles on their systems.  There are millions of people who put more hours into Madden or FIFA than any other series.

The funny thing to me is that EA and Nintendo are so much alike, which is probably why they don't get along.  Both are stubborn and want to have things their way.  They both want to arrange the system so that they are the ones in the best position.  They just see things differently.

They did announce Fifa already and with good features for the Switch version (local MP with the Joy cons).

The rest of their games, like BF 2 are simply too demanding to Switch and porting them would be a problem.

Because most of EAs game run in frostbyte nowadays and they haven't ported the engine to Switch (yet...?).

The part of me that tries to look at the best side of a situation likes to think that and that a sincere FIFA port was a sign of good faith until they can get the engine ported over to the Switch.

While they have some crappy politics, they own a lot of good franchies and their game sell a lot. Your opinion is exactly the example of "forum people", that always believe that their more niche tastes reflect the general public.

A lot of people care for EA games. Battlefront sold 8M copies, Fifa does 15M easily, Battlefield also reaches these numbers. Add Need for Speed, Mass Effect and it's clear they have a lot of important franchises. If you look at the games on your sig (BOTW, Horizon, Nioh, Persona), basically none of them has a shot at selling like Fifa (and it does it in a single freaking year). I myself think that those games are much better than Fifa and BF, but they actually have a much broader appeal to a larger public.

I wouldn't classify most EA games as shovelware. Shovelware is a quickly made game with very few value and low complexity to appeal a casual public. Like Candy Crush. BF is a competent online shooter, Fifa is a good footbal simulator with fun MP, NFS is normally the best open world racing game. Things like 1-2-Switch (made by Nintendo itself) fits the shovelware classification way better than these games.

With the Wii U, EA did a competent version of NFS Most Wanted (best console version, actually). Their support died because games weren't selling. Fifa for Switch looks actually pretty good and the dual Joy Con MP on-the-go could actually move a lot of units in EU.

Sports games need the official licenses to sell. PES suffers because EA has the official license. You're also heavily underestimating how difficult it is to make a good footbal simulator. PES dominated the PS1/2 eras because Fifa had a gameplay so inferior that the licenses could not make for it. Only after they surpassed PES on the footbal simulation, they started to rule the scene.

Also, people don't want a simplified casual footbal game, they want something that looks like the matches they see on TV, with the players, teams and stadiums that are on TV.

It's not simply because Nintendo wants it that they would best devs with decades of expertise on that.

Could say this about many companies. Where's all the Capcom or Square-Enix or Sega Switch games? Where's Rockstar? Activision? Even Ubi Soft ... Mario x Rabbids, but their own actual support is Just Fart and a Rayman port? EA announcing just FIFA is basically the equivalent of Capcom with MHXX.

Capcom has USFII,MHXX for NS. Square has Dragon Quest XI,Dragon Quest Heroes 1-2,Dragon Quest X,Secret of Mana Collection,Octopath Traveler,I am Setsuna,Lost Sphere for NS. SEGA has Sonic Mania,Sonic Forces,Shin Megami Tensei V for NS. 

So Capcom is pretty similar with basically just one major release -- MHXX, which is a port of a 3DS game. Lots of companies are not showing a lot for the Switch.

I just looked at all of EA's Wii games to prove a point, and wound up proving myself wrong. They didn't do as badly as I remember. Most of their games for Wii were reviewed in the low 80's which is a great score.