Well, I've read this entire thread over the last two days (there should be a t-shirt for people that can pass a test).
I buy a lot of used albums and sometimes I'm surprised at the disparity between appearances, and sound.
My normal cleaning regimen involves pads like the (newer) Audio Technica AT6012 and (vintage) Discwasher. My fluid is 80% distilled water + 20% iso alcohol. I have a small bottle of 100% iso alcohol for challenging vinyl. I've gotten to the point where I don't use any detergents in my fluids at all.
The Audio Technica is very soft while the Discwasher is stiffer. Between the two of them and some fluid, I've been able to clean records to the point where treating them with Elmer's Glue-All or Titebond II shows little to no improvement, but i keep trying. I think my normal cleaning regimen works well enough (some of my decades-old albums that were wrecks when I got them are nearly dead silent) that whatever is left, isn't going to be lifted with Elmer's/Titebond.
For stubborn albums, a $15 pocket microscope (100x to 250x, used mostly at 100x) shows stuff clinging to the groove wall. Likely embedded/scratched-in grit.
The microscope was invaluable in allowing me to inspect albums immediately after cleaning, and after a play or two. It is amazing how much household dust can accumulate on the vinyl during just a couple of plays. Furthermore, the carbon fiber brush I have seems to just move the dust around on the album. So the microscope taught me to clean albums with a pad + fluid before each play. For albums that already sound good, I just grab either pad, use a little bit of fluid, wait for everything to dry, and I drop the needle.
For albums that have that embedded grit, I'll typically wet the album with the Audio Technica brush, and then use the Discwasher brush as a bit of a scrubber. Sometimes I left/angle the Discwasher so I'm applying pressure to a smaller (maybe 1-1/4") area, repeating this across the album. [I should state I'm doing this all on my direct-drive table under power, so I'm trying not to bog the thing down too much.] I follow-up with the Audio Technica to dry the album, and then I listen. It seems with each cleaning/scrubbing/playing cycle, a little more grit is released and the album is quieter.
There appear to be no negative audible consequences of scrubbing the albums like this, they generally just keep getting better. Heck, on occasion I'll use a stylus brush or the little nylon cleaning brush that came with the Discwasher, to clean the vinyl, such as when I find a bolder stuck in a groove. That doesn't seem to have any negative consequences, either.
BUT, I got to this thread because I've been thinking about different glues. I've read about Aleene's Tacky and I'm going to pick some up and see if it grabs some of the embedded stuff a little better than the Elmer's/Titebond glues. Perhaps the stretchy aspect will help. I've always thought the glue effectiveness would be improved if it seemed to grab (the vinyl) a little better. Just a tiny bit.
OH, and BTW, to share something, when I do use glue, I use a silicone roller, this exact one:
https://www.amazon.com/WOODRIVER-Silcone-Glue-Roller/dp/B00H2B73E6
I do this on a bench in the basement with a puck under the record label. It does a good job of distributing the glue evenly and not overly thick. You just let the glue set on the roller and then it peels right off. I'll have to try it with the Aleene's, I'm not sure if it will work well with thicker glue.
That is my story and I'm (mostly) sticking to it.