Hmm! If I might play Devil's advocate for a moment, it would seem to be quite possible, because of their sheer simplicity, that they were composed completely independently of each other. What adds to that is they come from eras at least 2 centuries apart. This idea would be strengthened if no evidence of PPs usage is found in the interim period.
Also they appear to be in different modes or at least one is minor and the other is major.

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