Birdman never went against 50.. only thing u could really consider is the fact that he was really close with Ross/Khaled at one point but they were the winning team and 50 wasnt at that point.
Plus when Wayne started to grow into a superstar 50 was throwing shots at him and Baby, if he wouldve just embraced Wayne and Kanye and worked with them in his prime he woulda still been on top
But there was always a mutual respect between the two, 50 has worked close with Cash Money artists(Juve, Young Buck) and the fact that he didnt switch up and jump out the window on Baby in wake of his falling out with Wayne like Renzel did speaks volumes