I've seen people on both the "left" and "right" claim that Twitter more heavily moderates "their side." Is there any way to know if either "side" is correct?

I doubt Twitter classifies moderated content into political buckets as this would create massive liability, but has any neutral third party studied what kind of content is removed and classified it into "left" vs "right"?

I'd like to see the system that could accurately perform such classification at scale, if such a thing is even possible, since no one seems to know exactly what "left" and "right" mean.

For example, "liberal" and "left" are often conflated even though hardcore leftists tend to have a healthy disdain for liberals (in the modern, colloquial sense).