Well, Lilith ran the show from about s3-s4 finale (mostly, with a few demons trying to overthrow, but still...)

Then Lucifer got out and took control, doubt there were many demons, aside of Crowley, who dared to dispute his right for leadership.

Hell, I think a huge part of the reason why Crowley won the job, is because Lucifer killed any other demon with the guts to try and go up against Lucifer or tried to refuse any of Luciver's orders..