I just took a look at my OG model and I can't discern any scan lines. If they're there they must be imperceptibly thin to my eyes. I could be that my glass screen protector is making them harder to see, I dunno.
Judging from how bummed out you are about this I'm guessing you mainly use the switch in portable mode? You could try checking out the display switch minis at a bestbuy or GameStop to see if they have the same issue.