I always felt that Cage beat Liu 6-4. Liu's zoning has to be really on point in order to cause any trouble for Cage. Even then, it's still pretty easy to just dash crouch block your way in. Up close, Liu's EX dragon kick is a good option to escape pressure but it's pretty baitable. EX bike kick's input makes it trickier to use, and it'a just as baitable/punishable as dragon kick. Liu's standing 1 and 2 are 8f I think, and he has d3 too of course, which is probably a better option because you probably don't want to risk doing a standing attack against Cage.
As for Skarlet, bulldogging your way in is a viable option to at least get to midscreen. Her daggers don't really do that much damage if you get hit. Her cartwheel normal is pretty good and has a deceiving hitbox as well (not sure what it was, u3 maybe). Cage's b3 may be able to hit her out of it at some point but I'm not sure. The armor on her EX slashes are pretty good, but like all specials they can be baited, so it's a guessing game when she has meter. Without meter, she'll be in a lot of trouble against Cage though. I'd probably leave it as an even MU.
Also, we should probably edit the first post at some point.