This belief that Asari use their psychic powers to manipulate people is based solely on a scene of three drunk dudes sitting around a table and watching an Asari stripper. I'd hardly call that conclusive evidence.

Also, if that theory were true, it'd have knock-on effects that quickly spiral out of control. If Asari would use psychic powers to make everyone believe they look like the viewers' race, then what happens to recorded media? What happens if anyone ever decides to draw how Asari look to them, only to then find out that others see Asari completely different? What happens if you try to touch an Asari? Do Elcor see Asari as Elcor-like? And Hanar see Asari as floating squids? How would that work with the statue on Thessia? And what range would those psychic powers have? And if those psychic powers had a lasting effect on the brain of those affected, how come no doctor or medical computer ever noticed that? And what do people see that watch media of Asari, but had never met Asari in real life?

No, I think the scene in question just shows three drunk guys seeing what they want to see.