With a proper European deposit insurance scheme, Germans would have fewer problems rather than more. A deposit insurance scheme should be seen as an insurance against economic risks, just as you take out liability insurance to protect yourself against the risk of an accident.
If risks are properly priced, it’s not a system of transfers between countries and still less from the “North” to the “South”, as is too often argued. Of course, banks would need to further reduce risks before the deposit insurance scheme is introduced. Much has been done recently in that respect.