More Free Hanseatic Cities

The Hansa had times where its members were able to band together to enforce their demands, though ultimately many of its members were subject to princes who stripped the cities of their privileges. What if the Hanseatic League was better able to support the independence of some of its members, effectively freeing them of the city's obligations to a prince? Examples include Wismar and Rostock from the Duchy of Mecklenburg; Danzig, Elbing, and Thorn from the Teutonic Order; and Magdeburg from the Archbishopric of Magdeburg. This would essentially demand them to become imperial cities or fall under the jurisdiction of Lubeck or another Hanseatic power. What would this lead to in terms of power for the League? How might outside powers react?
 
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