I do believe that is a complete fallacy. Dorsey hand picked Kitchens and it was in part based on familiarity with the team and the offensive output under his coaching (the offense went from bottom 10 to top 10 virtually overnight). Gregg also had a very genuine interview for the HC job. There were other outside candidates who were also interviewed. Kitchens won the job primarily due to how the offense clicked under him. What is not known but speculated is the Browns initially were considering keeping everything intact but strong rumors of teams being interested in Kitchens for their OC roles and/or possible future coaching jobs was putting pressure on the Browns to make a decision on him. Either promote him or lose him. They are gambling that Kitchens is more valuable to keep than Gregg is to lose. Would not suprise me if Gregg was offered to stay as DC but pride would not allow it (considering it would be a demotion). Gregg and Kitchens by all accounts appear to be friends. Nothing but good things have been said through interviews about the other so I really doubt the comment was a shot fired directly at Williams. I believe it is basically his experience being at Alabama moreso.
Also, if anyone wants to get an idea of Kitchens coaching,...there is a "Building the Browns" series on youtube. It is quite good IMO. Kitchens has yelled a bit when he got frustrated with players not adhering to their responsibilities but at the end of the day he trusts his coaches to do their job. The "football" coach is a rah rah coach that tries to push the players to give 100% and then they have technical coaches that focus on routine and polishing up technical aspects such as positioning, when to break and where......leverage.......how much space to give based on package. When and how to close....etc.
The Browns are media darlings simply because they have went from the worst franchise in football to a respectable team to play on sunday. Add that Baker has a personality that shows on camera....he is a media dream. That is the pro and con with him. You know what you get but sometimes what you get isnt what you want and sometimes it is. His absolute desire to win at all costs is awesome. His ability to get his teammates to believe in him and themselves is pretty rare (he did this at OK too,...all the players absolutely loved him). He is there for his teammates (yes I know some will say he isnt there for Duke but that was out of context,...he just wants it not to be a distraction....ideally handle it away from the camera).
Overall, there is little doubt that Dorsey has built ANOTHER strong team. There is little doubt that if he leaves the Browns, he will be in such high demand that he may be the highest paid GM in the NFL. He is the primary reason KC was in the AFC Championship game and the reason the Browns went from 0-16 to 7-9 overnight.....He is the reason they traded Kizer for Randall last year too (another brilliant move IMO).