What's even more amazing is anyone thinking EA is important to the long term success of any Nintendo platform.
You're right that EA games absolutely do matter and are a very big part of the gaming community but overall they have had very little relevance to the Nintendo fanbase for 30+ years.
Wii U literally launched with 3 of those 4 franchises you listed and went on to be their worst selling console ever, now obviously those games didnt cause it to fail but they certainly didnt help it in any meaningful way.
I've said it dozens of times on these forums, the AAA/mainstream/hardcore western titles you are referring to are a welcome addition but not necessary for Nintendo platforms to succeed.
You could make the argument that Nintendo needed those games 20+ years ago to prevent Playstation/Xbox from gaining such a strong foothold but that type of software is synonymous with those brands at this point.
The likes of EA, Activision, Ubisoft, etc do not need Nintendo to make their AAA titles succeed and Nintendo does not need those AAA titles to make their platforms succeed, its really as simple as that.
It baffles me that people still think Nintendo needs Western AAA multiplats to succeed. The Switch is one of the fastest selling systems of all time and it's doing so without EA, without COD, without Assassin's Creed, without most of the big Western blockbusters. Most Switch owners have a PS4/Xbone to play those games on.