I've made point, the headline reads "Flu vaccine lowers risk of stroke", which is very different from "Flu vaccine lowers risk of stroke for people with hypertensia".
The linked article does not mention this hypertensia fact at all, there is not a single mention of hypertensia in it and it is not clearly communicated anywhere in study besides one small fine print, that their findings actually affect only very narow group of people.
You've managed to add "in the cohort of pts likely to have strokes" to the headline, which is not an interesting wrinkle. That's the population you'd most hope to see the effect in.