Why has everyone (LE, historians) accepted that Dellacroce was a major roadblock to Castellano ordering the murders of Gotti and part of his crew?

Dellacroce was always portrayed as old school, someone who respected the chain of command. And he understood that following orders from superiors was integral to the continued success of LCN.

With that in mind....couldn't Paul have ordered Gotti's murder and Neil would have accepted it? I figure Neil would have done the exact same thing, if another crew made the same mistakes as in the Gotti crew. Paul could have even given the contract to Neil....after all, DeMeo was given the job to whack Rosenberg.