It is true that Kaido, WB, BM and Shanks were running around fighting each other all the time.
You are a special one aren't you ?
You are a special one aren't you ?
The only powerhouses in this crew are Mihawk, and Crocodile to a lesser extent (you can maybe put Mr 1 in this).
So basically, with the Cross Guild, Mihawk will have to fight practically whole Yonkou crews alone. When other Yonkou crews have 3-4 High tiers, 5-6 Mid tiers and thousand fodders. So it's normal Mihawk is not very excited to fight the other Emperors.