Nah. I just checked the viz official:
No mention of swordsmanship here. I trust Viz official over screenshots of fake fanfic translation. "Power". Is fundamentally different to "sword skill" through and through. That kanji shit he brought up is completely invalidated.
Anyways nah, not just CoC haki as a whole is fundamentally different to sword skill. Kaido said "power" in relation to the scabbards attack. The bounty post simply mentions sword skill. 2 completely different words. CoC is not a part of sword skill, no haki is.