I do find all the claims that the PR people are doing a bad job, there's so much secrecy, there must be more to it, etc. a bit odd.
I mean, the PR options appear to be: 1) release that medical treatment has occurred but is private, that there will be no updates unless there is change, and that there will be no engagements while recovering, i.e. what was done. 2) release private medical information so people can feel justified in their assumptions they have a right to the private information of a complete stranger. 3) Respond to every theory because people prefer wild speculation to banal life.
I think people interpreted the first statement as the surgery being minor, despite it not saying this. Then when the recovery timeframe implied a more significant surgery than they had assumed, they instead of thinking "ah, I must have got that wrong" assumed again that either the first statement was misleading or that something is being hidden.
Significant surgery requires significant recovery. Significant recovery when you are someone whose pictures are scrutinised and judged by the public right down to a wrinkle in your dress or a varicose vein is going to be done well away from prying eyes. I just don't think it's as exciting or scandalous as people want it to be.
I'd also note that others being back at work/doing things sooner after significant surgeries isn't a sign that those with privilege shouldn't be allowed to recover, it's a sign that the rest of us should be allowed but are not due to societal and financial pressure. We don't recover faster, we just have no option but to get back to it before we've fully recovered.