Well, Kimblee can certainly respect that - at the same time, he does battles to the death for fun, so just about anything he might have to say on the subject kind of results in immediate "you are a moron; your argument is invalid." He also has immense amounts of pride, so this has potential to get hilarious really fast, but tl;dr - "competition, hell yeah!"

That said! Archer has taught him well, and he actually will throw up Protect in the spirit of "oh my godddddddddddddddddddd why does literally everything learn Signal Beam, what the hell"; he'll take the Bullet Punch, which Ramsay won't be too pleased about, but he'll also be taking advantage of the fact that it requires contact and getting in close - he won't know what move she's using (and will be immensely grateful that it hits for far less damage than he suspects it might) but he'll take his chances with it in order to try getting off a Fire Blast directly into that thing's face.