I have the $35/mo Vue package and it works. No clue about any other variable.
Is this your only access to TV/sports?
I have an OTA antenna and have used it exactly twice since I switched. Both times for chiefs games.
As mentioned in another cord cutting thread, I dl'ed the ESPN app and it works with Vue as well. So, I get the ESPN's there. Other than that, yes.
I do have Kodi installed on the fire tv, but haven't used it for sports yet. I will use it if I miss a game, for a reply if needed, or if I can't get something else on the above.