My "bleat" experience was always from elevated stands, and for me, it's worked well...
EX: Buck came in several years ago, following a doe I'd shot earlier and I watched drop dead.
The buck decided, as deer do odd things, to angle straight to my tree! Then he for that strange ability of theirs, looked up! He bolted.
Back the way he came. I hit full draw and bleated. He stopped perfectly quartering away and I was already on him and released. Bingo.
Only good thing about training myself to hold for a second or two is in situations like that.
If you're not ready to shoot, bleating is likely not a good thing as it only increases their focus on the source of the sound: YOU.
I really think you shared something that nobody else mentioned... the other hunter!!!
You don't see that many deer...do once, they're moving and you find out someone was hunting across the road. Might be a relationship.
Regardless, that close encounter will keep you in one spot more now.
Good luck!