I don't get the "Pete limited the coordinators" argument at all, it seems like people trying to push a perceived narrative even though the facts don't seem to fit.
For long stretches this season Waldron seemed to completely forget we had a running game and would throw the ball sometimes for full quarters at a time causing quick 3-and-outs. Considering PC's stated philosophy there's no chance this would happen if Waldron was being overruled by Pete, as Pete would bring us heavily back to the run - which occasionally he did (most notably in the Let Russ Cook season when Wilson started dealing INTs), but these examples seem more the exception than the rule.
Same with the DC. There was so much talk on here that Desai ran to Philly to escape PC's stranglehold on the DEF, but he immediately flamed out with the Eagles - a team loaded with talent.
Looking over the last few years I think the issue was the other way around, I think PC gave too much free-reign to below-par coordinators (which he hired, and he has to take responsibility for that). Hurtt's D was awful despite have some good talent, and Waldron showed some flashes he should have achieved far more with he talent we have on O.
I guess we'll never know, but I'd like to know the reason Geno ran far less this year. Geno is a baller on play-action, but too often this season he was put in a position that wasn't to his strengths.
It'll be interesting to see how Waldron does in Chicago. It could go either way, but I'm thinking he may have benefitted from simply being around McVay at a time when everything McVay touched turned to gold.
I hope he does well, he seems like a good guy and there were some great drives this season, but I'm not sure why he went through long periods of forgetting that RBs and TEs exist, and he never seemed to have a good overall 'feel' of a game from what I saw.