There is also the story that Pete was playing a LM course and said he thought it was Raynor, which suggests he was familiar with the CBM/Raynor style, and of course, there is no reason to think he wouldn't.
When I was designing the Colbert Hills Golf Course, it was originally going to be part of the TPC network, although that didn't happen. However, the PGA Tour did have some ideas on design, one of which was that any sand bordering water should be solid, not a string of bunkers, because if you are doing a save bunker before water, they felt it ought to treat any shot heading that way consistently. Of course, I had broken them up to save sand, because budget is a thing.
That was well after the original TPC, so it is more than possible that they learned that from Pete, rather than dictated or suggested that to Pete.
I played Prestwick with Pete in 1995 (or 2005 I forget) and when we got to 18, he told me that the long, straight ditch along the 18th was his inspiration for the long straight lines as an alternative to look to RTJ's curving lines, used by most of us to look more natural.