If my only choices were white-flash or red-glow, I would stick with white-flash because of the better image quality at night and lack of night-time motion blur. I've run many very successful photo-censuses with white-flash cameras, although I had to move camera locations frequently and/or use a lot of cameras. But it certainly can be done with visible flash cameras.
However, once you throw the black-flash option into the mix, every other consideration goes out the window. For those who use cameras a lot at non-baited set-ups, black-flash makes such a difference that I can't see using anything else. Of all the people I've talked to who have tried black-flash (and that's a bunch, considering the business associates I have), only one has said they didn't think it made much of a difference. Everyone else, almost to a person, has said something to the effect of "Holy crap, what a difference!"
All the time I hear, "I got lots of pictures of mature bucks with my white-flash/red-glow cameras, so camera flash doesn't scare deer." My response is always the same, "How do you know? How many MORE pictures would you have gotten with black-flash?" Until someone tries it, they won't know. But from the vast majority that I know who have tried black-flash, they were shocked by what they had been missing using visible flash. But again, this primarily deals with those using cameras at non-baited locations. Although personally, I get many more pictures with black-flash at baited locations as well. Not only more repeat visits by the same deer, but individual deer stay around the bait much longer with each visit, allowing more trigger events per visit (and more photos to review of an individual deer).