let's see ...
Mihawk can't be on Wano before 20 years ago ...
and in last 20 years Kaido was ruling there with Iron fist
would he allow Mihawk entire his land , fight many people , and he be like : "oh yea , I'm gonna let that happen"
unless mihawk went to Wano like Ace where he didn't let many people know about him
unless Mihawk went to Wano when Kaido wasn't around
the statement don't make sense
and tbh , Mihawk fearing Kaido to a level he entire Wano like a chicken won't make sense
sure Kaido would beat his ass
but Mihawk is not a type of person who fear any one
so ... NO