If I do a bird dog of any kind it's a modified version with a point with the index. If you go with a straight up signal, delay the signal a moment or two to convey what you had, then there won't be any conflicting signals.
Correct nobody notices the finger after the first horn so after I come in and signal first horn for the end of the time out and if the players are not coming out of the huddle I tell the players sitting down to stand up and that seems to get everyone out of the huddle faster.