I am a big hater of gum chewing and didnt finish the interview either for this reason. I bet there are 10's of us in this same boat. (I know its my problem, but it is objectively disrespectful to chew loudly).
I have made note before that Willie does similar with his chewing tobacco, I have seen folks comment about that as well.
I dont go on camera, so I cannot say throw too much shade, and I love DT and Willie , but it helps the product to not be obnoxiously making noises from your mouth.