And same thing applies to LCDM. How does it explain bullet cluster, and several others, existing in the first place?

Disclaimer: I'm not a cosmologist even if I do have a background in physics. I do like following the field. It's just not quite so clear as you imply.

And if we go into things like superfluid dark matter then it doesn't really matter if its dark matter or some kind of modified gravity. One has bunch of equations and what matters is how they behave.