I have to agree that the average whitetail that's already on the alert for whatever reason, is more prone to jump the string, and a relaxed deer, or as relaxed as they ever get, is less apt to do so.
Having said that, I shot at a slammer of an eight point several years ago, that I'd watched come toward me for 75 yards, and he looked as relaxed as a whitetail ever gets. He came to within what I figured to be right at 20 yards, turned broadside to me, without a twig between us, and looked back the way he'd come.
I figured it was going to be my best opportunity, so I drew, picked a spot and let fly.
At the shot, he sprang into the air, and went to the left in a spin that landed him facing the opposite direction, and about 15 yards to the left of where he'd been. He stood there looking back toward me for a minute, then walked off in the direction he was facing.
That's the only time I've seen what appeared to be a relaxed deer, react that violently to the sound of what I consider to be a very quiet bow. He was a big bodied deer, with antlers to match, and he'd obviously learned a thing or two over the years.
When he turned broadside and looked back, I thought it was a done deal. If I live to be a hundred, I'll never forget that buck going up in the air, spinning around, and landing 15 yards to the left in the time it took my arrow to get to where he had stood just a split second before. Never saw him again.
Bob