I don't think many in the Saints organization and perhaps even some of the players from the late 60's-early 80's liked Dilberto due to the fact that he persistently and stubbornly kept saying the quiet parts out loud about how criminally incompetent, inept, frankly stupid the sort of FO and ownership we had under Mecom and Buddy kept showing and pointing the obvious parts of that stupidity in a way that was uncompromising and unfiltered. One constant refrain from Dilberto all throughout the 70's and early 80's was that John Mecom was an idiot, clueless owner who was always way in over his head and every year with each passing losing season and bad FO decision, trade or first-round draft pick, he kept proving his point.
When it came to Benson, I think Buddy respected him more because he at least made some great personnel moves and team-related decisions once he took ownership although their were some modest criticism here and there. It wasnt until maybe mid-late 90's that Dilberto's focus on Benson turned a lot more critical and maybe a tad bit more personal although it never really reached the same level of nasty, vitriol that existed between him and Mecom. Mecom despised and hated Dilberto and IMHO, maybe that was a deflectionary coping mechanism for him to not consider that perhaps critics like Dilberto were right about him all along. He was an absolute failure as an NFL owner and in quite a few other business ventures. The only two decent, respectable HC's Mecom ever hired was Hank Schramm and Bum Phillips, perhaps Dick Nolan was a distant third but IIRC, he presided over the disastrous 1-15 1980 "Baghead" season when so many issues plagued the team like drug/substance abuse, lack of discipline, effort and Nolan's confusing, stubborn committment to a Flex Defense that works only if you have a lot of time and right players, which Nolan didn't really have in New Orleans in the late 70's.