I also feel like "hookset" is a misleading term.

It's not in the dictionary so perhaps the translators have invented it, but to me (no real fishing experience) I would assume it's the type of hook you're tying to your line – but it's a skill you use to catch the fish after you've already cast the line, so it can't be that.

I think it would be better renamed Precision Hook / Powerful Hook to make it clear that it's an alternate version of the Hook skill.