Plausibility check: would Peter III keep the Wettins on the throne of Poland?

Let us say the Tsarina died later and Prussia was dismantled during the 7YW. When Peter III comes to the throne, he is slightly more liked for not having reversed course against Prussia. Is it possible he would appoint Frederick Christensen as the election winner for the Polish crown? Peter was a Germanophile after all.

If he did so, would the Poles rise in protest per the Bar Confederation, as in pur timeline? Frederick Christensen is a foreigner, but it seems less outrageous given it is a "more of the same" dynasty.
 
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