"There was nothing else in there, and the bread came out perfectly fine." Because Oeznik obsessively empties it, also to deter Steve from poking around in there or tipping it over and making a mess when he's in a playful mood. Of course he wasn't expecting to also have to deal with the other man-shaped feral animal in the house.

It's just as well he hasn't started making sweets for Bucky. He has a hard enough time getting rid of the American when he's cooking already. Sweets would just make him a semi-permanent feature hovering around Oeznik like a persistent fly until he gets fed.

"We both want you to be happy." And free, obviously, although there's only so much they can do to preserve that. But anyway, happiness would involve spoiling Zemo from time to time. Bucky's okay with it. And Oeznik might or might not be subtly encouraging Bucky to keep indulging the baron.