According to various sources, Malkitzedek was punished for blessing Avraham before blessing Hashem by having his "priesthood" status taken away and placed on Avraham. This status is then passed down until it is limited to Aharon's family.
In the interim, though, that status of Kehuna (in some form) resided with the avot, starting with Avraham. Was there any practical implication in how they lived their lives because of that status? Were they even aware of it?
Did that status limit their behaviors in ways that are connected to being "kohanim"? Some were clearly tamei met (including Levi) but I don't know if a Kohein can have multiple wives.
Is there any discussion of the status of "priest" after Avraham receives it and before it is discussed in terms of Moshe and Aharon?
I see the priest status as different from something like kingship which would someday go to Judah's line. Before that, there wasn't a king. But Malkitzedek, and by that understanding, Avraham, already triggered the priest status.
I also understand that one could say that the laws of kehuna were not yet given so there would be no limitation on behavior before that took place, but if the avot kept the Torah in some sense, would any of the priestly laws be included?