We've only had our bp's since 2008 so we don't have the extensive experience you have. But we've always fed in a bin (see my reasons above) and beside the usual winter fasts for some of them, they're pretty consistent feeders and we've never had a regurge and never been bit either. My 2 kids ages 10 and 12 (they were 5 and 7 when we got the snakes) are in charge of feeding the snakes. We even have one snake that the kids have nicknamed "Rat Bane" because she would fly out of the bin before the kids could let go of the rat, sometimes ending up with the rat coiled with her body halfway hanging off the side of the bin. The kids are in charge of changing out their water bowl everyday too. They can change out the water bowl without getting bit either.
I believe either method is good because after a while the snakes and keepers get used to the routine so it's just another day in the life. Neither one is generally more superior than the other. It's just whatever works for your house.