I've played a bunch of Scythe on Steam, which has live scoring for every game. I was a bit surprised to see it when I first started playing there, but got used to it. What makes me want to play with live scoring on BGA is my desire to play competitively.
Scythe is an amazingly fun game as published, and the lack of live scoring IRL helps players to focus on enjoying the mechanics. Once you start playing competitively, though, live scoring becomes more helpful than not. If you play in a tournament, for example, you would hate to lose a game simply because your "spidey sense" of who was winning was wrong. You'll want to end the game only when you're sure that you'll win.
One thing that live scoring won't do for you is tell you who will win given a set of hypothetical turns. It can only tell you the score for the present game state. But that in itself is a useful tool for competitive play. For this reason I suggest that all who create tournaments for Scythe on BGA enable live scoring, and I recommend it for the Arena as well.
I'd be open to live scoring being off by default for regular games. If that leads to more people playing games with live scoring off, fine by me. But I'll be playing with it on the vast majority of the time.