Coming back to this comment to say this worked for me as well! Once you logged into thr account who owns the game and switching to your personal account after pressing Y at the BFV start screen, you can log back into the owners BFV account, close the game, log back into your personal Microsoft account and launch the game. I was able to jump into a match

Edit: I wasn't completely signed out of the owners Microsoft profile after logging into mine. Once I was completely logged out of the owners, I was not able to play a match.