Nothing you said convinces me that the uvula and appendix have no purpose. I assume that ends of things do come together a lot during development, but why does that imply no importance? Sounds like a classic case of chesterton's fence. and I hate to say it but argument from authority is pretty boring.
I think you misread GP, they only said the appendix is not an evolutionary mystery, not that it doesn't serve a purpose. In fact, he noted the presence of lymphoid tissue, which makes is useful to the organism, as stated by the article as well.
I read "fun stories" to refer to cyclops, male pregnancy and the deep mystery of the real purpose of the appendix. That's a plausible critique to me, and one which is compatible with the appendix being still useful. Same for the first comment you mention. Yes, it's just the ends of things that come together, but life makes use of that real-estate anyway. It's just not critical, and there is only a slight dent in immunity when removed.
They used paragraphs to separate complete thoughts.
Note, GP explicitly mentions the following in their last paragraph, and make no claims that the appendix is useless:
> This idea that the vermiform appendix is some deep evolutionary mystery is sort of a low point of medicine that occasionally pokes its head up. It ranks up there with male pregnancy, and various birth defects that have given rise to stories of monsters, like Cyclops. Fun stories, completely useless.
Experience would mean he's taken out a bunch of people's appendices and nothing bad has happened. Which still wouldn't prove that the appendix has no purpose at all.
I've done a fair number of autopsies and have never even heard of someone ending up on the autopsy table secondary to an appendectomy. I'm sure it's happened, but, on balance, if the docs say you need an appendectomy, they're probably right.