> My bank indeed issues a real MasterCard but the monthly fees are unreasonable added on top of my already expensive checking account fees and it has very crappy app where trying to temporarily (un-)block my card needs calling their support and waiting in line while amex app gives me these features immediately on app.

Get yourself an N26 account/card if it bothers you too much. It works as a Mastercard (still the "Debit" kind though), has no account fees and you can do basically everthing from within their app.