I've seen several of each. In fact when I had the shop we had a bunch of zeagle bc's for rental. We eventually tossed all the zeagle inflator valves because they would gum up and stick. You could clean them and they'd be ok for a while but it seemed we were always messing with them. They used a bent washer spring and it just wasn't enough.
I was teaching an AOW deep dive when my zeagle inflator stuck. I disconnected it without a problem but I could still hear air...with the valve still open it was then letting air out of the wing. I stopped the class so I could look things over and one of my students noticed my inflator was disconnected and while I was looking at something else the nice lady connected it for me, starting things all over again.. LOL another class with real lessons for students.
I had one stick on an OW student and I got to him and got it disconnected.
I was teaching an advanced nitrox class and we were doing shallow skills part of which was shooting a bag and ascending while doing timed stops on the way. One student had his inflator stick nearly full open and what a sight it was. It happened as soon as he hit his 20 ft stop and if he had owed real deco time he would have been in trouble. Tou guessed it, another zeagle inflator.
Use an inflator with a reasonable amount of button travel and a good spring to return it...none of that silly crap that uses a schrader and a bent washer for a sring.
We were at Gilboa once teaching an OW class when an ambulance came for a guy that was shot to the surface by a stuck inflator. He had no idea how to deal with it from the sounds of it. If I remember right he wasn't injured but the ambulance was called anyway as soon as he hit the surface screaming. It was a great wakeup call for my students. I don't know what kind of inflator he had or what the condition of it was.
I've had more trouble with dry suit inflators letting water in than I have air but somewhere I have a video of me on an early dry suit dive using a rental suit where the inflator stuck wide open. I was descending in shallow water and the valve stuck wide open on the first tap. In that shallow water I was almost back on the surface before I even knew what was happening.
Several times I've had dry suit deflators jam and not vent, usually after crawling through small sandy caves. Having to vent through a neck or wrist seal can make for some cold deco even in 70 degree water after a longish dive.
Runaway inflation is something that a diver had better be prepared to deal with.
Do you have a lot of monkeys flying out of your butt?