555: just noticed your question to me from 2 days ago.
I was referring to Hungary between both World Wars because several Hungarian family members from different sides (Holocaust survivors) that were NOT CHASIDISH shaved and I was always told that that was the Minhag in Hungary.
Austria especially Vienna was more modern, so though I’m sure there were many ehrliche women that did shave, I presume they were not the majority. As you pointed out it was originally one empire, yet I can’t say that the same Minhag was true there before WWII. Perhap’s during the Chasam Sofer’s time it was different, but I really don’t know.