Nick,
I don't know about structural integrity that might be lost by not using a clamp because I've never HH glued w/o clamps. So far (knock wood), my bridges have stayed put. If you find/figure out what effect a rub-joint has on a bridge, please share. There was a re-printed article in a recent GAL magazine about Eugene Clark. He apparently used a rub-join for gluing the fan braces onto his classicals. I reckon it works fine on a bridge, too. Since I cut the saddle slot prior to gluing on the bridge, it needs to be in perfect alignment for the scale length, thus the locating pins. The pins made rubbing the bridge difficult.
I'll suggest that you go over to the Old Brown Glue website and watch some of Patrick Edwards videos on HH glue. As a trial, I've glued both a top and a back on (in a go-bar deck) using OBG. They are still holding firm after 6 months as a strung-up guitar. To warm the lengthy kerfing prior to applying OBG, I painted warm water from the glue pot onto the kerfing, then applied the OBG. Even with the longer open time of OBG, I didn't dilly-dally (technical term) getting the go-bars on.
I started using HH glue merely to find out for myself what it's like. And so far I like it. It wouldn't work for Robbie's week-long class because of the curing time, but I don't have that constraint. Besides titebond is a fine glue, also.
Steve