Axiom
Black Belt
It does matter. I've seen guys who trained in TKD (not sport/for competition, but what they called 'traditional' TKD, who could beat me and some other fighters who had more experience. If your level of training and experience is not matching up with someone with the same level from a different style/school, that's normally an issue with you or your school, not your style.
Talking about Boxers/Kickboxers now. Never claimed TKD fails against every style. Joe said they had plenty of Kung Fu guys challenging them in the dojang and the Kung fu guys got a bitter taste of reality every single time. So it all depends what you measure it against. TKD on its own does not match up well against Kickboxing.