CRT is not about understanding that "it sucks to be black in America". It's about understanding why, and how it came to be that it sucks to be black in America.
While I couldn't give a shit about "CRT", I can say that the majority of such classes are really more about why it continues to suck to be black; the history part just is there to show the mechanics of how the cycle built itself, to reveal the existence of it's inertia.
Here's the problem though: there are a lot of white people who will also claim that it really sucks to be white right now. Dosn't matter if their neighbor is doing well. They are stuck in dead in jobs with little set aside for retirement. They aren't paying attention to the nuances of this issue. They don't care about the existence of it's inertia. Any issue that creates separate groups is going to empower this group into joining the right or anyone who will pay attention to their issues.
This is unfortunate for them because wealth inequality & racial inequality are two separate issues. When they cut ass and run away from racial inequality in an effort to juxtapose it against their financial struggles they end up making the wrong argument as well as being used by the very same people fucking them financially.