It all just depends IMO.

Ususally when a deer blows because of something that is my own fault, (saw me move, got winded, etc.) they are gone for that hunt.

But I have seen deer blow because of other reasons and still stay around. Like when a yote or bobcat comes around them. Or sometimes I have seen them blow at each other. I don't think they run away for good from those things because they are not running from an "unknown fear", which is what we are.