36 views in four days and not one reply?
I found the answer in another forum:
No, this is not unique to bougainvilleas. It was just dumb luck that only one of the plants in my garden was affected.
What's affecting it: mealybugs.
How to get rid of them: 1 part 70% isopropyl alcohol, 5 parts of water, a few drops of soap. First I removed by hand all the bracts that had the mealybugs, then I sprayed stems, leaves, and bracts with the alcohol mix, in the early evening. This did not damage the bracts. I will continue to spray the plant until I see no signs of mealybugs.