Em Am switching/Fingering

I am on Lisa's beginner course and I was about to tackle the songs when something threw me off:

Lisa fingers Em with the first and second finger and then has the first finger pivot down for Am. I have so far (In my previous guitar life ☺️) used second and third for Em. This way I just drop those two down a string and add first finger.

any advantage to Lisa's way or disadvantage of my way later down the road?

Thanks,

Derek

Either way is good! However, your way of fingering Em (basically playing open Emaj and lifting up your index finger) is more of a typical way to finger the chord. But please, do what's most comforatble and helps you pregoress more!