No, it doesn't matter, and it hasn't mattered for years and years.
The Miami rivalry is now the New England rivalry, if you can call that a rivalry at all.
I remember both sides of the Miami rivalry...years of being their whipping boy followed by us getting the better of them during the Kelly/Thomas/Bruce/Reed years.
There were a LOT of important games played between those 2 teams during the Superbowl years, in both places but mostly in Buffalo, and we always seemed to win when it mattered...after a decade of getting our asses handed to us.
That stuff has been gone probably since the retirements of Marino and Kelly.