I think I read the web novel version of this story, and several events didn't happen or changed. I don't remember this snail to snake fight sequence. Guessing this comic is based on a light novel version, and tries to make Katsuya less of a pain in the ass by having more character moments. Don't think that will work though, as I didn't think I've ever seen anyone ever say they wanted more of him.
The snake and the snail are in the WN, the different are Akira not joining the Snake hunt, and while "winning" there is a lot of dead in the Katsuya group.
after this there is also few different, but mostly in the same plot.
I guess to some this is just another stupid stunt or uninteresting intermezzo, but this Bounty Hunting is one of turning point in both Akira and Alpha relationship and also how Katsuya manage/influence his group and most likely Yumina too.
which going to lead to one of the worse regret Akira would face in the future.
to be honest this is better than the thief hunting plot from the WN which was scrapped in the LN.