Ztards: Mihawk just doesn't want to sully his honour and fight a 1 armed man who can solo 95% of the verse.
Also Ztards: Wow look at Fraudhawk beat Don Kreig, Daz Bones and attack injured exhausted pre time skip Luffy all the while being stalemated by Vista a YC5 equal to Bobbins.
If this was any other character than the Ztards spunk characters EoS opponent they'd be trashing him.