This ^^^
You're only buying a little time gluing it back together. The problem is that between the heavy cardboard backer and the fabric is a layer of foam. Almost universally across all vehicle makes/models, it's this foam that breaks down first. It dry-rots, crumbles, and the fabric sags down. The foam in the whole vehicle is breaking down, the fact that it started in 1 place is only giving you a fair warning of what is to come with the whole thing. You can glue that spot back together easily because it's an edge. What happens when it's not? Are you going to cut a slit in the fabric so you can spray the glue in there to buy a little more time?
New headliner is the end fix. I had to do it on my 2000 Buick and IIRC, it only cost a couple hundred to get done. Dropped the car off, picked it up a few days later and it's been holding up great for the last 10 years.
Like I said above, you can do things that will buy time but the headliner will eventually have to come out...
As far as your reference to "cloth junk", it's not the cloth that is causing that. It's the foam between the cloth and the heavy cardboard backer...