EDIT: Another interpretation of the statement suggests they take responsibility for the event by proxy of deterring said aircraft which was then targeted by friendly air defences.
EDIT II: Prev. statements by Houthis suggest they had formulated new tactics to tail fighter craft with drones/missiles a while back so probably more likely that had something to do with it.
Ansarollah have historically followed up with evidence of such claims against UAE/Saudi aircraft of the same generation. They definitely have the capability, but no hard evidence yet.
I don't like this at all. Incredibly dangerous. From someone linking an attack-page with javascript and a zero-day that means one doesn't even have to leave the (presumably safe) site to get hit to someone trying an IP-scraper meaning you just have to visit/expand the post for your IP to be collected. This is a security nightmare. I'm not against click to play embedded videos or media where you can click to load but this is not good. Just scrape the website for text to create a locally hosted snippet or something. At least make it click to open.
At the very, very least run it off an allow-list though even then some of us may not like our computers unexpectedly accessing certain resources. I know some users in Europe could get in trouble if for example it was an RT page and I'd imagine some of the news sources around here (not this one but others) that people link definitely move one up the empire's automated threat radar merely by accessing them and that should be a consensual and conscious choice not something that happens because you open a comment thread.