Not just connections which traverse aggregated links. If you're load-balancing between multiple database replicas -- or between several S3 endpoints -- this sort of MRU connection pool will cause metastable load imbalances on the targets.
What I don't understand is why Facebook didn't simply fix their MRU pool: Switching from "most recent response received" to "most recent request sent" (out of the links which don't have a request already in progress, of course) would have flipped the effect from preferring overloaded links to avoiding them.