Switch Lite?

Moin, I have a quick question, and if I get a Switch Lite and then download Fortnite that goes with the same Fortnite acc. As on my switch because my cousin has 2 PS4 but can't use the same Fortnite acc per device

Personally, I would not get a switch lite, the normal switch creates fortnite barely with 30 fps.

I think the lite is not weaker, the screen is just smaller.

But you can't connect them to the TV, that's bad enough!