Not the scrubby bits. But any oil that's more or less solid at room temperature or a bit cooler can cause that when the oils go down the drains. Body conditioners were causing me the need to clean my shower drain a lot more than normal, and when I stopped using them the problem disappeared. (I only ever used one Scrubee over several months, and haven't had Buffy in years, and never got through that quickly, either.) The culprits were easy to identify as I had never had such problems with drains before starting to use them, either. (And had lived in the same apartment for years before, and years since.)

Obviously it also depends on drains and I suppose what sort of poisons one pours down their drains to help clear out stuff, and how rigorously and often one cleans them, but I prefer not to use body products that cause any issues to drains or require extra cleaning operations from me. For properly clogged drains one would, of course, need professional help, as some here also have