On my Wear OS watch I can see my overall score of the round at any time during the round, it also shows stroke over par, the extrapolated total score and the extrapolated total time for the entire round, plus total putts. I just need to swipe down on the watch screen.
This is a very nice feature. It looks like this on my watch:
I'd like to see this on my apple watch too.
No way of seeing score without checking my mobile, which defeats the purpose of it being on my watch.