I've thought the same thing, but there is a scenario where I think Love and Rodgers will both be on the team. Rodgers tells the Packers he wants to play for 1 and only 1 year and then he 100% is going to retire. In that case, I still would be fine with the Packers trading Rodgers, but if they keep him and still think Love is the guy, they they lock Love in for the 5th year at $20M and convince him this is what is best for him, one more year on the bench and then he is the starter.
Things that prevent both being on the team in 2023:
No Rodgers scenarios:
1. Rodgers retires
2. Rodgers demands a trade
3. Packers decide to trade Rodgers and keep Love
No Love scenarios:
1. Rodgers and the Packers want to go another year and Love
will have no part of it
2. The Packers trade Love
3. Love retires
WILD CARD SCENARIOS (as likely as Packers making 2022 playoffs):
1. Both Players are traded to the same team.
2. Both Players are in Green Bay, but Love starts over Rodgers.