While I am a "mommy judge" I have learned from my two debating high schoolers, one policy debater the other PF, to follow flow and be comfortable with speed. I appreciate well organized thought and strong rebuttals. I work hard to take notes so I can keep up with the arguments in order to form my win/lose decision.
When it comes to K debate vs. traditional LD, I am not well-versed in kritikal arguments, theory, or progressive LD. However, I do not think this matters. I will vote on the strength of sound data, well organized thoughtful argument, and critical rebuttal of the opposing case, not what argument resonates with me. Long story short, tech over truth. Run whatever you want, you do you. But if I look lost, I probably am, and you should take a little bit of CX or speech time to explain your arguments. You will always be able to judge where I'm following and what I like based on my facial expressions; I am not very good at playing poker.
Like I said, I'm good with speed, but please make sure you are clear. If I cannot understand you, I cannot flow your arguments, which makes me a lot less likely to vote for you.
No matter what, please be polite to your teammates and competitors.