I'll chime in. I am a longtime rock climber, rigger, and use to be tower climber. I have used the grigri 1 and 2, petzl stop, petzl traction, and micro traction, ushba ascender, among a bunch of other things. Just giving some validation for my opinion.
The grigri does not need hands on the rope to stop a fall. It does need a quick jerk. The jerk activates the cam to pinch the rope. Its similar in feel to a seat belt. Pull it quickly and it holds. Pull it slowly and it doesn't. I actually took a bad fall climbing one time with the grigri. Ill spare the details and jargon but I was climbing by myself(a practice most people don't do), and my instinct to grab the rope ABOVE the grigri (the anchor/top above your stand) didn't allow enough pressure for the cam to do its work. It needs a quick force to close the cam on the rope. In the climbing world, you always have a hand on the rope. And that hand on the rope is below the grigri (ie the ground side). It helps activate the cam. A person hunting isn't going to grab the rope or the likelyhood is low.
That said I would trust it 99 percent of the time. I don't hunt from treesatnds. My personal reaction as a person with lots of experience in the air is to use a prussic, a shock absorber(we call them screemers in the climbing world. the webbing with folds and stitches meant to break and lessen the shock), and a comfortable harness. That will all be lighter than the grigri, quieter, less expensive, and essentially fail proof. Also you need proper climbing rope generally between 9.8-12mm roughly. The heavier weave nylon rope WONT do.
If one is worried about the climb a petzl traxion would be another device. Its self feeding, though with a tether you would need to push it up the rope. This is what I use when climbing by myself these days. I don't need to pull rope through like the grigri and the cam has teeth on it. the rope will only slip one way. This device you CAN NOT lower on. Another consideration and possibly a reason not to use it.