There are SO many pros & cons about feeding in a separate tub. However, it seems like there are many more pros, especially in the area of cleanliness, so I think I'll stick to feeding my sneaky ones separately from their enclosure. Besides, most folks who don't are either breeders or those with so many snakes that to feed each snake in a separate bin would be extremely impractical! Like having only one porta potty at a biker's rally, ya know? Or a facsimile thereof!
I suppose cleanliness might be a concern; you do very occasionally get blood or other substances on the substrate, but simple spot cleaning after feeding sorts that out, and I have rarely found it necessary with my mild mannered corn. Otherwise, moving them has a number of cons - if it's a timid snake (like mine), moving them risks stressing them so that they won't eat (mine won't eat if there's someone in the same room as him), or risks getting bitten if it's a food-aggressive snake and the smell of mouse in the air makes it nippy. And then you have to carry a now food-heavy snake back to their normal enclosure which means a) more risk of getting bitten and b) discomfort on the snake's distended belly, which can cause a regurge (I appreciate this is rare and is often a sign of mishandling, but on the other hand, there's no risk whatsoever when you just leave 'em be). There's also the fact that the snake is going to come to associate the food bin with food and possibly get excitable/nippy at the sight of it. You might argue that they just associate hands with food if fed in the cage and that that's worse, but I would argue that a) if you're handling as often as I do (5-6x a week), they're going to associate hands with being handled first and being fed second, b) I usually place the mouse somewhere in such a way that they can't actually see my hands and have to explore for their dinner, so it's not a concern and c) even if you don't handle often and they can see your hands when you offer, it's no different than them associating hands with feeding tub and therefore with food anyway.
The cleanliness issue is definitely a minor con of cage-feeding, but I think it's outweighed by the pros. My corn nor my sand boa would not eat if he was first handled and plonked in a box, and my false water cobra would go berserk every time he laid eyes on the feeding tub. OPs little corn biting is no big deal, but falsies are big and mildly venomous - I don't wanna' get bit. Luckily my guy is a gentleman and has never tried to bite outside of food time. With rat in the air he's a different kettle of fish entirely.
It certainly isn't a time thing for me; I only have three snakes (four soon!), and I devote a lot of time to caring for and handling them.
All that having been said, while I do believe cage feeding is better, I don't think there's anything wrong with tub feeding if your snake is neither easily put off by being handled nor likely to get overly excited... I just don't really see the point. Basically it isn't very important whether people cage-feed or tub-feed.
I wanted to mention it here though because I want OP to know that if moving their snake post feed is a problem, they can easily circumvent it by cage-feeding to no ill-effect whatsoever.