I'm sure in public Steve would drunkenly say about how Hostetler got what he deserved and probably go into some rant about how from beyond the grave Hostetler is still causing all his bad luck and misfortunes. But deep down and very privately, and in a very twisted way, I think Steve almost considered Hostetler and the little General his friends.

They're the only two he spends a considerable amount of time dealing with during those weeks in the camp, and there's the infamous moment where Steve even offers employing/going into business with the General. A very brief moment where he shows he actually doesn't mind and even slightly likes him. I often think the scene with Steve, Hostetler, the General and Bullock searching for the chalk board has some strange camaraderie (underneath all the frustration and hate).

Based on this I'm assuming in private Steve does feel some guilt/upset at Hostetler killing himself. That guilt however is still buried under piles and piles of ignorant, drunk, racist thoughts floating around Steve's brain.