No, swordsmanship is just one aspect of combat.
Oda made it clear who is stronger overall
Yes, Oda made it clear and you don't understand it.
Swordsmanship = fighting style.
Sword skill = fighting strength.
More detail:
Swordsmanship is the skills and techniques used in combat and training with any type of sword. In One Piece there's no limitation to the skills and techniques one can use in battle with a sword. Any and everything is allowed.
Sword skill is your skill level when it comes to using different skill, ability, and technique and the power level to all of your skill, ability, and technique. IE: having the skills to coat your swords with overwhelming haki and possessing haki powerful enough to force a Gorosei to block a haki coated attack.
When the Scabbards failed to even reopen Kaido's old wound with their combination attack Kaido said it was because they lack Oden's sword skill. Since they were using the same swordsmanship and sword style as Oden that means Kaido was talking about their strength and power, not fighting style.
When the manga compares Mihawk sword skill to Shanks sword skill it is comparing a fighting strength, not that fighting style. Mihawk's bounty is based on his strength and power.