Thanks to all of you for your replies.
John, you make an interesting point I hadn't thought of. As I read you, more exposures, even at darker exposure settings, will improve the image, particularly with regard to noise. And, yes, I shoot raw almost all the time.
To answer the general note, yes, I realize I could pile on more light, and I generally have enough to do these shots in one pop. But once in a while I need to shoot at a very small aperture. Being able to shoot four pops reliably allows me to reduce my lighting load by 75% worth of watt-seconds. I see that as a good thing.
MB