The curious things is that, during "Lust" monologue. He said that he's one of the six, not seven. The wheel is also only 6 factors. So Pride might be handle different somehow.
But yes, Black Wolf is Wrath. Ludwig is Sloth. Sam is probably Envy. Edwin is Gluttony. Fox is Greed.
The idea I'm sensing about this game is that our main cast holder of factors somehow also needs to have counterparts of said sins else they'll just be evil. So if the Lion were to hold the factor of Pride, he's gonna be the final boss. Whether if our Wolf Captain hold it will balance out and well have something else. Hmmmmm 🧐. Actually, wolf captain might takes the factors of Wrath to be fighting with everyone else against Pride cause Pride might be the causes of others factors being teared apart and Lust were exiled.