I usually just flush and push at the same time.
Nah ain't nothing funnier to me than when you get in the stall and start prepping the toilet seat with paper someone else already coming into the next stall and y'all both are in there and none of y'all let loose. It's like an eternal wait to see who's going to let loose first. I get anxious and try to time the sounds and flush the toilet. Some folks don't care and will straight dump buckets recklessly not giving a fukk if their shyt is reverberating throughout the stall.