If it came down to attrition tactics, the kicker would have the advantage of striking force, and might win if both the kicker and the puncher were evenly skilled at neutralizing the other. Blocking kicks constantly is more punishing than blocking punches when you are really trying to take a guy apart.
I am not the greatest kicker, but I have used the high round house kick to beat on a guys arms so that the pain makes him pause, think, hurt....
Not to say the puncher couldn't do the same thing with hand tools. Drive your knuckle into the forearm, upper arm of an opponent who has successfully blocked your strike and it hurts alot if the puncher is thinking of attrition. Simultaneous block/strike to the shins, calves and thigh/groin muscles can be damaging too.
Again, it really comes down to who can dance at their ideal distance better between the two.