alternatehistory.com

I have always wondered something: why didn't personal unions of republics ever come into being? For example, why didn't we ever have a situation where protectorates of the United States had in their constitutions a clause stating, as in the case of the Phillippines, that "the Phillippines shall be an independent republic. However, the President of the Republic of the Phillippines shall be whoever is the President of the United States". So basically, whenever a new American President was inaugurated, he also became the President of the Philliphines simulataneously, like how the British monarch also holds the crowns of the Commonwealth realms by virtue of being on the UK throne. Can anyone see a similar system developing for republics?
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