Claiming the concept of a "red pill" as something exclusive to the red tribe is correctly perceiving the blue tribe memetic groupthink, while mistakenly thinking that becoming aware of one general memetic prison means you must have found your way out and into freedom. That media/government propaganda narrative most certainly applies to the red tribe as well. If anything, the red tribe groupthink is much older and pointing out the holes in it is the long established function of the blue tribe, hence why the ideas of The Matrix don't get as much concentrated attention from them.

Except that's literally what Wachowskis said -- the rest is right wing fan fiction.