Yeah, I mean, discounting the dwell/contact time arguments, and protein concentrations, you still have several reasons for why a recirculating skimmer would work better than a single pass skimmer... beckett, needlewheel, etc.
1. single pass skimmers have worse water/air flow than a co-current skimmer... the water travels from the outlet at the bottom of the skimmer to the outlet, also at the bottom of the skimmer. A recirculating skimmer works as a countercurrent skimmer... water must travel the height of the skimmer, possibly get recirculated multiple times due to the mixing pump on the way, and eventually get to the exit pipe at the bottom.
2. Recirculating skimmers eliminate the head pressure that robs pump performance. The only head-pressure that a recircualting skimmer has to deal with is whats involved in drawing the air down the air inlet pipe... and with the pressure from the skimmer drawing water from a 12" depth of water and pumping into a 24" tall body of water (for example), your performance increases.
3. Related to #3, but even greater, is that the lower throughput means that microbubbles are easier to control... the lower throughput means a larger mixing pump can be used on the same size skimmer body... meaning more skimmate. On a single pass skimmer, a 600gph pump might be used, but on a recirculating version of that same skimmer body, a 900gph pump can be used.
If some other theories on contact time's relation to dwell time are true, or ORP, etc... the reasons begin to stack up. I would also consider the ability to slowly draw from the top layers of the tank, the layers where proteins will naturally build up if given the chance, and then feeding them directly into the skimmer isnt something you can really do with a single pass skimmer, and I would consider the ability to do this with a slow flow sump to also be a performance booster.