Bayern is also a good example counter example against the poverty argument. Very wealthy region, but in 2021 they apparently had lower internet adoption than most other west-german regions. Saarland could be seen as an example of the poverty argument, but also of the age argument: it’s young people that move away.

Galicia in Spain is also wealthier than average in Spain iirc, but the map also shows them as having lower internet adoption than the rest of Spain.