It's not easily disprovable because all the evidence supports its existence. I see identical criticisms of global warming. Which is so difficult to disprove on account of all the evidence supporting its existence. It would be easy to disprove either. You would just need the evidence to show they are wrong.

The parent poster gave you a great example in terms of the same resume getting fewer call backs with a black sounding name. Instead of dismissing it as a conspiracy theory it would be good to understand it.

https://hbswk.hbs.edu/item/minorities-who-whiten-job-resumes...

It is true that many people have attributed a wide range issues to it, on offentimes shaky reasoning, but there are also very clear examples of codified rules and laws keeping minority races down, for instance the minimum wage.

The minimum wage keeps poor people down. That doesn't make it systemically racist.

It was first implemented locally in the reconstruction era south to keep blacks from competing with white labor.

Later, in the 1920s, African Americans had a higher rate of employment than White Americans! But after the federal minimum wage passed, their economic power was destroyed and has yet to recover.

Today, most people don't consider it as having anything to do with race, but when it was first put on the books, it was specifically designed to hurt them.