Do game moves notifications get disabled when you are online?

I don’t seem to get any sometimes and I’m not sure if it was because I was online (didn’t take note) or if my messaging system or OGS’s messes up from time to time.

Also I think the conditional moves does not work sometimes if I happen to have the game open when my opponent plays it. Is it because the system deemed that I was there to play it live?

Wonder if anyone else experienced this to confirm.