[x] Both
Is it efficient? No. Does it contain the most sword? Yes.
Now, sword words. Please tell me if I'm bothering you over the details, Boney, but I wanted to give my thoughts. I don't quite remember if I learned based on the italian or spanish books, but I think it was italian. I think it was the italian because they were oriented on VIP protection in city crowds, but it's not like I did too much with it anyway, because it's pretty hard to find a sparring partner.
You frown as you walk over to and recover your sword, trying to recall what little you'd read of it in Imperial-written books. "Sweeping vertical slashes and pommel strikes, right?"
So, I'm having some problem picturing how this would work. Like, you can definitely use pommel strikes. Either if the opponent has gotten really close, or by gripping the blade itself and using it like a club ala Mordhau. But the first is an emergency solution, because having the enemy closed in like that is about the worst situation you can have, and the second is more of a combo finisher and duel technique (and I'm also sceptical how much that was ever used, though it is in the manuals, and does work better than you'd think from close positions or half swording. Or at least it does in longsword).
Either way, neither would be something you built the style around. It could be in the imperial books as they focused on this weird exotic niche and misrepresented the style, but Eike got taught by an actual teacher.
Funny thing though: switching hands so you don't have them crossed can actually work if you're swinging a greatsword from my limited experience. Though I don't think that's in the books.
"Not exclusively, Master, the sweeping is for the killing strike with the stercke, after a parry or flick with the schweche. But yes, that's the style."
I don't think you'd deliver any strikes with the Strenght of your blade. The Weakness is the more distant half, so you use that to strike because it's going the fastest, and also because it maximizes the range advantage. IIRC, a lot of the time the Strenght wasn't very sharp, because you generally use it to accept a strike from the opponent, so it would just get damaged, and because it makes half swording less icky if the blade isn't actually sharp were you grab it (though you can absolutly grab and use a sharp blade without injury like that). This is especially the case for Greatswords, where the lower third or so often wasn't sharped at all, and you had little spikes to serve as hand guards during half-swording.
Fake EDIT: You can see it in the image Boney posted above.