I just did some googling and it does seem that when people say pinning they actually mean peening, which would be what I describe above with the punch. I had imagined a pin being driven through the seat into the head as some type of fastener but that doesn't seem to be a thing - I'm going with peening until someone tells me otherwise.
I found this video where the guy talks about (and demonstrates in the shop) "swageing" valve seats - hitting the aluminum with a round tool around the outside of the valve seat, causing a deformation of the aluminum above the seat and creating a lip over the top of the seat to help it stay in place. He also mentions how it causes the aluminum to compress around the seat thereby grabbing it tighter. He does this with existing seats and does it instead of replacing the seats. Sounds like installing new, better quality seats is another more pricey fix. He also mentions what sounds like "pinning", or did he say "peening"??? but says he doesn't like the look of that fix. Based on his detailed description of swageing, peening probably also causes the aluminum to grab the seat tighter, at least at the punched (peened) locations (I think my machinist did it 4 times per seat).
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So according to this guy, the 3 fixes are:
1) replacing valve seats with better quality ones (expensive but effective)
2) peening the seats like I describe in the previous post (cheap, ugly fix and probably a common practice in machine shops)
3) swageing the seats like the guy in the video does (cheap, less ugly fix but may not be a common practice in machine shops)
Are there any others?
Again, I'm no expert here and would welcome input from someone with more knowledge on the subject.