This is true Brute. Which is why I emphasised "true" high crush as in a high crushing tool (be it mid or high) that can completely reverse momentum at the right time. 2P generally won't get you far when you have better high crushing options.
I'm on a soapbox yet again but I realized that Ein (and to a lesser extent Zack) is the only character in the entire game with no actual high crush. Everyone has a 2P and 2H+K may as well not even count.
I was going to comment earlier asking what exactly it was you had meant. People who are in short supply of crushes are Ein, grapplers (minus Haya/LaM/Tina), Rig and Zack (there are times I feel Zack is just fine with crushes).
Leon, Bayman, Bass and Tina all have 1P's that can turn the tide if used correctly, Bass's is a trip stun on NH even. I don't think they're hurting in that regard. Leon also has the chest slam.
Bayman has the tank roll and Tina has the tackle OH as well. As for Rig, his 1P isn't the best but it does stun on CH and I'm pretty sure it tracks. That's already better than Ein 2P'ing.