I 100% agree he's phrasing things 'politically', but think about how you might also be reading what you want to read. For instance the section where you [reasonably] claim he's contradicting Musk (by claiming the decision was not political) was also not only phrased politically, but even came with a sort of disclaimer starting with "From my standpoint." There were no such disclaimers when stating that Musk made some sort of an offer to return the astronauts.
And again something you can't discount here is that Eric himself has written extensively about NASA frequently carrying out/endorsing poor decisions (SLS/Artemis being the low hanging fruit there) owing much more to political pressure than pragmatic decisions about the best direction for progress. Here [1] is one example, including an interview with a former high level NASA insider (30 years experience, up to deputy administrator) openly and casually talking about such.
It's not a secret whatsoever that NASA is under constant and significant political pressure. It's just a part of the game. And in this case you had a situation where the guy, who had basically become public enemy #2 (from the previous administration's POV), was going to be spearheading a high visibility rescue of a launch that should never have been approved in the first place - undoubtedly while blasting it all to his tens of millions of followers. To imagine this would not have provoked some behind the scenes 'management' just seems unthinkable to me.
[1] - https://arstechnica.com/science/2022/08/former-nasa-official...