Since these games were grabbed by collectors I'd expect most of them to be fixed up like new. No need to go to all of this trouble if you are just making a MAME cabinet.
But yeah, the documentation you mention will help.
I used to have a small collection until I moved recently and sold most of them. The ones in my basement never degraded much, but suffered some common issues which are reasonably fixable. One sat with a monitor problem in my garage for 17 years. I'm in the US midwest, so that meant cold winters to thermal shock things when I'd open the garage door and such, but no direct exposure to the elements. When it came time to move, I fired up that game and it worked exactly as good or bad as the day I set it aside in the garage. My vector games were sold to a friend at lowish prices because I wanted them to go to a good home and they needed a little work - but they are physically in almost the same condition as when I got them 25 years ago. A box of boards I gave to the guy you fixed my monitor just because I had no use for them and again wanted them to go to a good home. My guess is most of those will work just fine. The one from the garage is the one I kept and it's beautiful in my new basement.
It's an interesting hobby. One I mostly gave up, but I had to hang on to one cabinet and a few boards that were most important to me.
Given the timeframe the article quoted for the most recent cabinet (1980-1981), they all predate the capacitor plague [1] by nearly two decades. It is possible that the capacitors in the PSU's of these games might still be close enough to spec. to not need any replacement. But given the folks who picked them up, they are likely to test everything extensively and then decide what to replace based on that testing.
Nice to know a true root cause and better understand all those boards I trashed long ago.
Pretty exhaustive wiki on the topic, thanks for that.
There is a lot of nostalgia invested in that thing, it was my family's first computer and my own personal first experiences gaming and programming.
The best part of getting the game is that it came with full (hand drawn!) schematics!
This video was recorded around the time the stash was first identified and you can see the cosmetic state of a lot of the machines isn't bad!