I wear thin gloves on duty - but when off thick ones are common, too thick to fit in the trigger guard. I practice taking the right one off in prep for drawing...
It can be a challenge to draw from deep CCW - under coats, coveralls, and longsleeve shirt counts as deep, no?
But I practice that too. don't plan of ever being to fast - impossible. But I still practice. Loaded - guess I'm just really, really good.
(I believe that being careful is enough.)