I questioned Waldron when he was hired essentially based on Mcvay calling all the plays and Waldron had zero play calling experiences in NFL.
I will make that Waldron opinion after this season when he isn't working under Pete. Just to eliminate the so call Pete influences or Pete micromanagement, if that was even a factor.
Every coach needs to get experience somehow. All of the best OC's started out like Waldron and were promoted at some point. Waldron was a high ranking member of one of the most consistently good offenses in the NFL. The leap from offensive passing coordinator to OC is extremely logical and fairly common. Even if Waldron hadn't called plays, he is potentially bringing in the culture and knowhow of the system. In addition to all of this, the McVay/Shanahan's coaching tree had seen some absurd amount of successes at coordinator and HC.
Waldron had the pedigree and was a core member of McVay's system for a good while. He was primed to be next in the line of good playcallers/coaches. I don't think the move was necessarily a bad one on paper.
The one thing I will say about Waldron as a coach though, is he didn't seem to have the demeanor. The guy looked defeated on the sidelines whenever anything went wrong. He would just kind of sulk around, especially towards the end.
As far as Carroll goes, I do think he played a huge influence on the play calling. I know he made Schottenheimer use his playbook and terminology. Though, I think the main reason for this was Russell Wilson.
I will say, across different QB's and coordinators there were some trends that made an appearance in every offense. We had a tendency to force the ball deep even under QB's such as Hasselbeck. The running game and blocking schemes were virtually identical. Offenses seemed to be the same level of bland across the board too.
Pete didn't directly call the offense, but you can sure as hell bet he had a huge influence and was very involved in it --- more so than most coaches. Waldron's offense didn't look anything like the system that he came from. We implemented a few McVay like things such as the fly sweep, but it was all looked like a derivative of the last offenses.