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The prince-bishopric of Utrecht in the Netherlands was dissolved in 1528 after being conquered by Habsburg troops. The bishopric was later promoted to an archbishopric with a leadership of three archbishops, however, the last two were unable to be enthroned due to a little dust up between the Habsburgs and the Dutch.
A new archbishopric was established in 1853.
But my question is what if the Prince-Archbishopric were to survive. I know the Dutch government suppressed it in 1580 (according to wikipedia), but the pope established Holland as being under a vicariate answerable to Cologne or Brussels. So, what if the prince-archbishopric were to be re-established (either at Westphalia or before), with a similar setup to Osnabrück (I think there were other ecclesiastical states in Germany which worked the same, but can't remember them ATM) where it alternates between Protestant and Catholic prince-(arch)bishops? For instance, the Protestant ones usually come from the house of Nassau or Catholic ones usually from the house of Habsburg.