For me, I like games with really strong narratives and characters.
For instance with God of War, I loved Kratos and Atraeus. I loved the story that was told, and I want a sequel to continue the adventures with them. I want to remember that game 10 years from now. 20 years.
I still remember Uncharted 2 and the impact it had on me. Like, what games COULD do in terms of narrative and story telling in such a high quality and how I can get attached to video game characters.
Many of Nintendos games don't have that. Its a kart racer. Or you are catching Pokemon. Or your playing tennis. Or your building a mario level.
For me, many of these games are kind of "disposable". And I'm not saying that in a bad way, I can play Mario Kart for a week, and then just as easily forget about it till I buy the 8th one or whatever. I don't find the price justifies that kind of experience that I want.
Zelda and Mario are the 2 Nintendo franchises that do stick with me. Mario because its just fucking awesome and the gameplay there is immaculate. And Zelda because it does have the things that I do like in PS4 exclusives or other games. However, saying that, I found BOTW very weak because the story was almost non-existent and Link felt like a mannequin that had come to life. It was full of small side stories and just felt like a playground to fuck around in. I did slowly get bored with it because there was not a lot to drive me forward. I do acknowledge that it did a lot of innovative things for an open world game and I hope other games copy it.
But like you said, nothing I could say could explain it to you, but there is my take.
Nothing against the switch and people who love the games and the system. Its just one of those things where I grew up with NES, SNES, and N64. But I found PS2 and honestly never really looked back.