Thanks for the input, Colin.
Here's the update: Reburns today went fine, using the same times as above. Burned on the same mesh counts, same emulsion, etc. Got crisp detail, no hint of emulsion falling out in non-image areas. Everything burned just like I'm accustomed to. And the only thing I did differently was to make sure all light strips in the screen area were definitely working. (I've been aware of a few bad connections on the farthest edge of the unit.)
Ultimately, I'm not sure what caused the problem. My best guess is that somehow those first 2 screens didn't get a full-strength burn - presumably due to an electrical or wiring issue I've never experienced before and haven't reproduced today. So... who knows for sure. At least I've got good screens now!
...And as for the theory of a thicker coat of emulsion on the bad screens, that wouldn't have been it. I have a pretty consistent technique, and coat thinner than most people do: 1 outside, 1 inside, scrape outside, scrape inside. Atypical, I know. But thin enough to not likely be the issue.
I also think that the faster exposure time of white mesh could be why my low mesh & higher mesh times are as close as they are - if I were using white on high mesh, I'd expect LOWER times for those.
Nonetheless, I appreciate the help brainstorming!