Thing is we have had first class research done on photo materials, digitql and analogue, primarily because they are so disparite in quality that they have to be tested, but we don't have the same kind of research invested into mounting materials.
We do know from RIT that dry mounting with good thermo plastics has turned out to be a very viable method of mounting, when mounting to rag boards. And even protects the gelatin silver prints! And we know that mounting with PVA book binders glue is excellent for very long term stability and chemical free content. We know that plexi yellows.
Plexi/acrylic yellows a lot less than most other plastics, and many glasses.
Regardless, adhesives can fail and substrates crumble, scratch or break; what is needed isn't so much an unbreakable substrate or failproof glue, but an easily-reversible method of flat-mounting a print to Dibond or face-mounting it to acrylic or glass.
A lot of this depends on the strength and durability of the print itself, rather than the strength of the adhesive. PVA works very well, but the print also needs to survive reversal. So does Glamour II. Flat-mounted canvas works well, due to its strength, but doesn't exactly lend itself to a smooth or paper-like texture.
I've had luck spraying Breathing Color Pura Smooth and Pura Velvet with Timeless Gloss. Dilute it 4 parts Timeless to 1 part distilled water, with a drop of Photo-Flo, then spray on one or more thin layers via HVLP (the more layers, the more gloss). Or you can kill the gloss on the front with a light spray of Timeless Matte or Satin after you finish with the diluted Gloss. It soaks through the image layer and inkjet layer, deep into the paper base, forming a thick conglomerate of image, receptive layer and paper fibres, all held together and encapsulated in Timeless polymer that behaves as a single piece and won't come apart. Repeat on the back of the print and the whole thing becomes as tough as canvas. I'd expect it to hold up very well to repeated mounting and reversal.
But in this era most of us are not dry mounting to rag board anymore or using wet glue, we're mounting to dibond or sentra, or worse and there are just no verifiable figures on this stuff (and it ain't cheap to do boys). I put the blame on galleries and museum personnel. They just don't seem to know or care about anything in this regard anymore. They should know, it's their job. But we live in a throw away culture. What else is new.
PVA essentially forms an impervious barrier between the substrate and the print, preventing them from interacting. That's why you can mount a print to acid-containing wood boards using PVA without any effect on the print. It's also reversible. Dry-mount tissues do much the same (and both also protect the back of the print from gases) and some are acid-free. The only issue is reversability - impossible with some, difficult with others.
Really the safest way to mount a pigment print is to matt it behind a rag matt on a rag mount and frame behind glass or plexi. Only problem with that is it is considered old fashioned, and maybe it is. I don't even like to show prints like that anymore and I'm a fascist when it comes to longevity.
From a photographer's (rather than archivist's) perspective, we really need more data and better methods for prolonging the life of prints on open display, rather than better cold/dark storage methods. After all, photos are meant to be displayed - a print kept in a dark freezer somewhere might be safe, but also isn't very useful.
Or you can bypass most of these issues and find a way to print directly onto aluminium sheet, titanium sheet or Dibond. With a sufficiently-lightfast white ink, you don't even need a white-coated substrate...