I think the implication of the fighter jets is that they force the plane to land within a particular jurisdiction (where he is then arrested) rather than allowing it to just fly off to somewhere else. Similar to the way that a mall security guard might arrest a shoplifter; the existence of security guards doesn't mean the mall operators are planning to murder you.
Guards can plausibly arrest you without seriously injuring you. But according to https://aviation.stackexchange.com/a/68361 there are no safe options if the pilot really doesn’t want to comply, so there is no “forcing” a plane to land somewhere, just making it very clear that powerful people really want you to stop and might be able to give more consequences on the ground if you don’t.