If it was all I owned I would, but it would be hard for me to justify choosing a SA revolver over any of my other handguns for CCW. It has no practical advantages that I can see; it isn't more concealable, more accurate, deliver more firepower, nor is is faster to reload than my DA revolvers and auto-loaders. I did once shoot a feral dog with a BP revolver. I was riding my bike down a country road and was attacked by a pack of about 20 feral-behaving dogs. But I was under 21 then, and the BP revolver was the only handgun I could legally purchase. It was effective that day, but if I'd had my druthers then, I'd have carried something more modern.
Amongst the majority of freedom-lovers, going armed is more a matter of principle than statistical necessity. But in order to pass new legislation that lessen the restrictions on the carrying of arms, we have to convince the fence-sitters that there is a NEED for the average law-abiding citizen to carry arms. We have to focus on the very real NEED for people to possess the means for self-defense. The carrying of a single action revolver suggests to many that the one who carries it is more nostalgic than practical and that his is a hobby or game rather than a serious discipline.
I, too have a weak spot for classic revolvers and autos. I'm just thankful that the 1911 still enjoys a reputation as a serious fighting handgun.