Earlier quoted context omitted.
Germany is similar. Especially in more rural areas, a couple villages away people are going to have a hard time understanding you. Though there's typically a common dialect variant everybody speaks, usually the one spoken by the largest city in the region. E.g. every middle-franconian understands Nuremberg franconian dialect and is able to talk in a way they would understand.
I'm American My ear has just gotten to the point of noticing German dialects, and spotting the quizzical looks of other German/Austrian/Swiss people in the group Fascinating. I feel like they had 1,000 years to resolve this
In any case, communication technology (trains, TVs) is a greater determinant of dialect than government.