There’s a thing called the “Cell Danger Response”, where individual cells react to detecting danger to themselves in a somewhat selfish way, by inflaming and emitting purines (the chemicals cells also release when they lyse apart during apoptosis.) By the fact that other cells detect danger using these purines, this response is usually cascading in a local area. It lasts a long time; sometimes cells just never go out…
I had never heard of this "cell danger response" before, and there's something about your description that does't smell right to this former cell biologist. It's worth noting that so far, this seems to be a theory being advanced by one scientist: https://www.ncbi.nlm.nih.gov/pubmed/?term=%22cell+danger+res... This is not to say it's not true. But let's be careful here.
Personally, I find “Cell Danger Response” useful as a term to specifically reference one type of purinergic signalling. One which, yes, the author you link to is investigating, and invented the “Cell Danger Response” term for; but one which was already known as a type of purinergic signal (and an interesting, unique response to said signal) before their work. Their contribution is mostly in the disease linkages, not in providing evidence that the purine signal+response they call “Cell Danger Response” happens.
So, in other words, even if they’re P-hacking, the worst setback science might see is that these syndromes don’t turn out to be ameliorated by CDR-inhibiting enzymes after all.
However, I would note at least one distributed experiment by another “author”: the nootropics community has adopted https://en.wikipedia.org/wiki/Sulforaphane as a seemingly-effective treatment for the symptoms of autistic spectrum disorders (to the point that, with only their interest, it has become a common supplement with many available brands.) While we don’t understand sulforaphane very well, various journal papers suggest it has a role in modulating purine metabolism; and so the amateur biologists of the Internet have hypothesized that it is likely “cleaning” purinergic signalling molecules out of affected tissue for long enough for the cells to “relax” and stop screaming at one-another.