If we're talking business, it's better that he fights Kessler later. If he beats Larsen in Denmark, then the interest would grow for a Bute-Kessler fight. If he fights and wins against Taylor, then Kessler also makes sense. A kind of division eliminator.
Why should he rematch Andrade? He schooled the guy for 11 rounds but got knocked down in the last round. Despite of what was made of it all, it was a clear and fair victory for him and he needn't prove himself again just because he got gassed a bit towards the end.
Seems pointless to me as the fight was one fair and square before. It'd be similar to Calzaghe saying he'll give Jones a rematch to prove himself.
Stieglitz or Miranda would make a lot of sense, if they're able to make those fights. I could also see this being an optional (non-defense) fight against a semi-name outside the top-15 (i.e. Soliman, etc.). Most of these guys probably don't really want a part of Bute at the moment.
I disagree. Bute has still to prove he is definitely better than Andrade on the day. Anyway, the rematch is on if they both remain unbeaten until next summer when the mandatory is due. Andrade has to face Tsypko and Bute will have a voluntary defence.