Now, of course, this doesn’t mean Patrick Chan isn’t overscored – you can be overscored in TES if the GOES are too generous (and I believe Chan is overscored here sometimes as well), but the numbers for the long programs in their four competitions indicate that Dai’s PCS are held up as compared to his TES more than Chan’s.
Just looking at the numbers doesn't mean anything, though. First of all, why does a skater's TES and PCS have to be roughly equal? Some skaters are simply much better artistically than they are technically, or vice versa.
More importantly, it's a matter of if those scores are
deserved or not. Takahashi's TES are often so much lower than Chan's because of leaving out jump combinations and/or missing rotation, whereas Chan pretty much always maximizes all of his available jump windows (and, frankly, because Chan constantly gets way better GOE scores than he should). Takahashi's TES being lower doesn't mean it impacted the PCS and that he received undeserved scores in the latter category, though. If Takahashi planned a long program with nothing but double axels and easier triples for jumps, he would probably still deserve something like 90 in the PCS if he delivered it perfectly. That's because his ability as a skater, artist, and performer is so great. He is exciting regardless of high technical content. Looking at actual competitions, Takahashi leaving out technical content and making mistakes generally doesn't affect his performance very much. He deserves the high PCS. Patrick Chan, on the other hand, often does NOT maintain his performance level when he makes mistakes, nor do his programs have as much impact when flawed.
That is part of the reason why so many feel he gets undeserved PCS - because when he does these performances where he makes a bunch of mistakes that break the flow and he skates without passion, he still gets massively high marks.
Given that Takahashi is MUCH better artistically and as a performer than Patrick Chan to begin with (you don't have to agree but I'm positing the idea), his overall PCS should generally be higher than Patrick's anyway. However, that never happens. When Takahashi skates better than Patrick - look at the recent Grand Prix Final Long Program - his PCS are still lower.
So, no, your theory is incorrect. Patrick Chan is held up in the PCS more than anyone else in the world of figure skating.