Yes it does make a huge difference if he doesn't specify it, if Mihawk said just power, then people would assume Luffy's ability to fight Mihawk as he survived that fight you little troll
All Yonko are stronger than their underlings, and by far.
You little troll pretend Buggy must be an exception because your little butthurt can't handle being stronger than Mihawk = only 3 billion bounty.
Are all Yonko individually stronger than their commanders? Yes. Then suck it up. They definitely meant Buggy's individual power if they don't specify it because that's how Yonko operates with its Yonko commanders.
We already know Mihawk definitely has extra additional things to make him more dangerous, such as Marine Hunter skills and possible ancient race.