I never understood people's obsessive need for an Achievement Trophy system. As if someone scoring 100 points, 80 rebounds and 80 assists in one game with Lebron James, or killing 100 zombies with an umbrella instead of a chainsaw meant they got more enjoyment or more value out of their game than anyone else. I actually preferred the way it was handled with Wii U games better. Stars or stamps rewarded at the end of levels instead of annoying pop-ups in the middle of gameplay. And, if I was particularly proud of an individual game moment or "achievement", all I had to is click a snapshot of it on Miiverse. I didn't need Microsoft to pat me on the back with a 10 game points for finishing level one of a game.
Yes, I do have an Xbox One. And so, having one console with achievements, and one without, I don't feel like I got any less satisfaction from completing a game on Wii U than I did on Xbox. So, if the Switch doesn't have a system identical to what Microsoft or Sony uses, it won't make any difference to me.