Where Lead Stories goes overboard is in the way they present their title. It would be far more appropriate to title the story like this:
>Fact Check: The British Medical Journal Revealed Flaws In Only One Of Many Pfizer COVID-19 Vaccine Trials
In fact the use of the plural "Trials" in the fact-check title from Lead Stories is a malapropism, since the BMJ article clearly focuses on a single trial. The BMJ article also does not use the word "disqualifying" at all, nor does it supply such an implication.
The problem is not with fact-checking or even with attaching a fact-check to this particular story; the problem is that the content of the fact-check is structured like clickbait, with a classic motte-and-bailey title.