I would say rub joint, except the white glue would also rip a chunk out of the wood so you couldn't actually tell any difference in glue strength.
As long as the soundboard is not lumpy in the bridge area, sanding the bridge in place should give you a good fit. I also scrape it slightly concave to compensate for any slight expansion toward convex from water absorption. Heat up the bridge and soundboard, slop glue on the bridge, set it down, and gently rub for a couple seconds until you feel friction with the soundboard wood... at which time it will vacuum in place and be immovable, so it better be in the right spot when it happens
The only failure I've had was suspect to begin with (visible glue line at the back of the bridge) and underbraced. I thought about redoing it, but decided to leave it for science, and it did indeed peel off a few years later after the soundboard had deformed quite a bit.I've had much less luck trying to clamp bridges.
Finger braces and bridge plates can be rub jointed. Radiused X braces, tone bars and back braces must be clamped. Otherwise the plate will spring back flat and overpower the weak glue suction. A couple of little clamps at the ends of the brace could potentially make it work.
I also rub joint my scarf jointed headstocks. Coat the angled surface with thin hide glue and let it dry, sand back flat. Warm it up, apply glue, rub until it grabs and hold by hand for a minute or so until it cools. Then stick 4 cam clamps on it with gentle pressure. They're mainly to prevent the thin corners curling up from moisture expansion (EDIT: also apply water to the outer surfaces before rub jointing to counterbalance moisture expansion from the glue, otherwise the corners may curl immediately when you let go of them to put the clamps on). Too much pressure will shear the joint without a jig to prevent it. You also have to prevent shearing when holding by hand, but that's pretty easy to do. I strength test them with my own body weight, and so far the glue has never failed. The wood did once, due to runout.