We saw the Eurofighter [Typhoon] circle the helicopter at very slow speed using full thrust just to stay up.
That seems like a perfectly reasonable description from a member of the lay-public. Modern FBW fighters can fly at seemingly impossible alpha values, at low speeds unheard of by earlier generation fast jets (Typhoon is around 110 kts,) and it would have been making a hell of a racket using a lot of power! If you want to see a really extreme example of that watch an F-22 at an airshow (albeit some of the thrust is being used as lift, but only some)