I have my reasons....
The point is, many TMA schools use that "no competition" label as a shield to protect their style from objective scrutiny.
That is purely your opinion. Every "no competition" school I know of is that because they are not teaching to compete. My school is a 'no swimming' school. My guys come to be to learn reality based traditional karate, not compete in the ring or the swimming pool!
Take Aikido for example. Though Aikido is a pretty modern art, it teaches things in a pretty traditional way. Often lacking aliveness, or any sense of true resistance.
Ignorance or arrogance? You have never trained Aikido. I train it twice a week. Most of the time we train against total resistance which in some ways is unrealistic because in real life we would hit first. If you can make stuff work against total resistance in training without the strike, how much easier with the strike? Some of the time we train without resistance to practise reversals. There is total aliveness in our training.
So what happens when an Aikidoka goes up against a Judoka?
This happens;
or this against wrestling;
And its a direct result of how the Aikidoka trains.
OK! You have a video of an Aikidoka trying to do Judo. In every instance the Judo guy is throwing by holding the gi. None of our training does that because in real life I've never seen anyone wearing their gi in the pub. The Turkish wrestler was very good. Just because a good martial artist from one style is more skilful than someone from another means nothing in the total picture.