Mildly downturned toe (less than the muira lace but feels much more powerful), relatively wide forefoot (but low volume, especially in the toe area, so you can't size them really small for super curled toes) w/ a sock like construction (like the Sportiva solution). The last feels almost as stiff as TC pro out of the box (stiffer than anything else Sportiva makes right now, I think).
I bought it specifically for long, hard routes with a mix of edging & thin crack climbing & sized it so the toes are just flat w/o any weight, but a bit curled standing on the ground (half size to full size larger than if I'd bought it just for hard edging). I didn't get to do the route I'd planned (a buddy of mine overheard my choice & bought the shoes for the route & loved it). It worked well enough for Moonlight (& IC routes like optimator, johnny cat, etc), but the XS Edge rubber just doesn't smear that well on sandstone. However, edging was superb and jamming was way comfy.
What's the katana lace like? No one stocks them around here-
They are fairly stiff at first but quickly break in. They're also still stiff compared to the shoes you're talking about after break in. Pretty sensitive for a stiff shoe as well as having a very slight downturn, really just at the tip of the toe. The heel is kind of deep, but not as bad as the original Katana. They're fairly wide in the forefoot compared to most Sportiva shoes. The most recent iteration give me a toes flat fit at 2 euro sizes down from my street shoe and an edging fit at a half size below that. They don't stretch much at all. I think they're the second best modern stiff shoe behind the Feroce. The Feroce has a shallower heel and a slightly wider forefoot and an identical downturn. It is also much stiffer and just as sensitive.