I moved between countries and it was very easy. Went to the bank (physical location) and showed my id, and the rent contract (so i could prove my address). They opened the bank account immediately.
Moving away: close your bank account, you must live in the country to have a bank account here.
I never encountered a bank that did this. I'm pretty sure this is illegal.
Moving to: you must open a bank account here, we don’t accept foreign IBANs
Again, this is false.
The app thingy is true unfortunately.