Well im in Scotland and have never heard gotten used here anywhere from Aberdeen to Edinburgh, or north or west thereof. Not once.
'a've goat', with a gutterel t, would be more likely...
Surely the whole problem with gotten is that its a verb which has never been particularly correct in English anyway? Its better to say 'i have'' 'im having' etc..
Thee, Rhine, Thu, etc has never fallen out of use in some parts of Yorkshire, and they are actually more correct useage than the universal personal pronoun and its definitives. And in some parts of the west country til recent years, some used the old Saxon 'bist du' for 'are you'. So I don't think gotten is being favoured for particularly old English usrage reasons - its revival coincides with popular us sitcoms!