I have been told that, when soaking in the Japanese onsen, the hair must not touch the water, so people with long hair tie it to a knot. Does the same principle apply to facial hair? I have a goatee roughly down to my chest, and I tried to tie that to a knot as well. However, when my mind slipped, and my head nodded, the knot on my chin touched the water. Nobody seemed to mind though, or at least they did not show it.
I know long beards are rare in Japan, but is there a proper etiquette about long facial hair in the Japanese onsen?
Background: I am a European male on a vacation in Japan, with only rudimentary knowledge of the Japanese language, but a fair grasp of basic etiquette. I am very obviously identifiable as non-Japanese.