Blunt weapons and edged weapons using the same skills?

[VIVIT]

It doesn't make much sense to me that, for example, a baton as long as a shortsword uses the same skill as a shortsword. With edged weapons you have to worry about edge alignment, while blunt weapons require nothing of the sort. The fact axe and mace are the same skill feels really weird; they're both impact weapons, but they're very different.

Suggesting that skill with a sword transfers to skill with a club feels a little bit less ridiculous than the other way around. It makes some sense that Miyamoto Musashi could adapt his swordsmanship skills to brain someone with an oar, but could someone skilled with clubs pick up a katana and use it? Maybe they could use a sword like a cutlass designed for hacking and chopping, but a katana is designed for draw-cutting.

I suppose this could be addressed with familiarity penalties, but in many cases, especially going from blunt weapons to edged ones, that doesn't feel like enough. Am I missing something here? Is there a HEMA expert in the house? And yes, I know GURPS isn't a reality simulator, but if it didn't care about distinctions between weapon types and the ways in which those weapons are used, it wouldn't have weapon skills at all.