The seraphim have the same skills as the shichibukai. Hence, imo it is very likely that Mihawk can use rankyaku.
Being able to send flying slashes like this isn't an inherent power of the dice dice fruit. Daz Bones has never used rankyaku, as far as I can remember. No, this is a technique exclusive to S-Hawk, hence I think it is very likely that it is something Mihawk can do.
Yoru is an incredibly large blade. And while Mihawk can surely wield it with great ease, he would nonetheless benefit from having multiple styles of swordsmanship, similar to Zoro. I think it is very likely that Mihawk has an alternative fighting style that is more speed based.
Using the pocket knife in conjunction with ACoA, ACoC, and rankyaku could possibly be this alternative fighting style