I think you misread...the quote is about recycling the adhesive itself with hand sanitizer, not pieces assembled with it. Running an industrial recycling process with unwanted hand sanitizer as a solvent is peak comedy.

Now for disassembly, hand sanitizer is usually intentionally thickened to be more of a gel, whereas alcohol will flow into tight spaces. If you're trying to dissolve a glue joint, ethanol or an ethanol water mixture will be orders of magnitude better at penetrating into the joint, and of course you can't dissolve glue you don't reach. So I still think you're gonna want a can of denatured alcohol on hand. It'll leave less residue too.