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Just a simple what if. Let's say one of the various http://en.wikipedia.org/wiki/Heads_of_the_House_of_YorkHeads of the House of York after the Tudor ascension somehow gets the throne of England. The method doesn't really matter for my question.

So, would the new kings refer to themselves as members of the House of the York... or the House of Plantagenet?

Because I have seen references to the later heads using both, I was wondering which would be more likely.
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