Does a turntable mat make any difference?

I play a lot of records. I have several mats of different thickness that I use as a quick, if not perfect VTA adjustment. I suppose had I selected wealth instead of handsome, I might have a copper mat, or some other unobtanium that caught the light just right... I have a couple felt and a couple cork at each of the systems that have more demanding cartridges. My "intake" turntable, where I audition my new to me records, after cleaning, is a U-turn Orbit Theory with a m2 Blue and an ultra thin generic felt mat, and I couldn't tell you why there's a mat at all.