Yes, always.
However, I knew a cop once that carried a 1911 w/ the chamber empty, and cocked and locked. Back then, most cops got shot with their own guns. He practiced regularly drawing, taking the safety off and chambering a round. I showed him how to do it one handed. For those that don't know, you turn the gun 45 degrees and slightly away from your body and hook the rear sight on your belt or holster. Holding the sight firmly hooked, you push the gun away from you. When it stops with the slide open, simply lift it free. Not a bad skill to have, BTW.
How ever one carries, I firmly believe it should only be done one way. Simple and straight forward is always best. So, it's your call.
Heck, maybe you have kids that you are concerned about. Even some adults can't chamber a round, but anybody can pull a trigger, even a DA one. So, perhaps it's a good option for those with special concerns. E