Well, according to the film, Don H. and Glen generally made all of the big decisions, and the others got jealous. There was a clear division between those two and Felder, Leadon, and (later) Joe Walsh. TBS and Randy Meisner were the only two who had no ego, apparently. In fact, Meisner supposedly quit because he didn't think he was good enough (even though he had the greatest vocal range by a mile). It's a pretty interesting doc- if you're a fan, you should check it out.
Okay, that makes sense. I also consider Felder to be the "third greatest" based on basically what songs they wrote. So it would make sense that he would push back, I guess. To be clear, he was the best of the remaining ORIGINAL Eagles...I believe both Meisner and Walsh were later additions. Both of whom, particularly Walsh, are probably more talented than Felder.