...why?

As someone whose only 5* sword is a Sudaruska and who mostly uses bombs, these all seem fairly easy to achieve. In fact, I do achieve them quite often and I do have fun with it.

The biggest problem I'm seeing (as you sort of hinted at) is that it would take a lot more background code to check for these things constantly, whereas humans can easily "detect" when they occur.

The next problem is that some weapons would simply be unable to perform some of these things. For example, an Alchemer wouldn't be able to knock back a Lumber ("lumbar" is like your lower back or something, by the way) or "pass" a monster around. While these style points might encourage people to try different play styles, they also might cause some people frustration because they aren't able to afford new weapons. However if the point system was completely separate from existing rewards, and did not affect how people earn crowns/mats/anything, that might be okay. Devs have mentioned that Prestige will have more uses in the future, so having these count for Prestige might bring rage.

The third problem is kind of a personal preference more than anything, but I feel like it's more fun if people come up with their own "stylish moves". People already do things like speed runs or single weapon class runs (e.g. bombs only). If there was an institutionalized system for these things, I feel like it would take away from the creativity that people put into their runs.

I dunno, I guess I'm just not seeing the advantages of a style system outweighing the potential issues that could come out of it.

@Manalicious-Knight The fact that some weapons can't move monsters isn't an issue, as most monsters can be moved by shield bumping them. I agree with the rest of your post, though.

That would take a lot of code, and I don't really believe it would be worth it.