Hi Bubear.
Jeffrey 26 and I mentioned it in a string from today, titled Center Fire Vs. Rim Fire:
Center fire vs. rim fire - #2 by OldGnome . However, what a great question. I think I may type your question in the search finder magnifying glass above to see what else the group wrote. I would not be surprised you receive some good responses herein. I ordered a .22 revolver, waiting for it. I have a .22 rifle and have had misfires.
One of my course instructors shared wait at least 30 seconds, if on the range, as you mentioned keeping it pointed safely at the paper target. I believe, then ejector rod out all of the cartridges, and find the dud by its pin mark on its case, and ask the range how to discard it.
Looking forward to the replies.