// Indeed it is. See Webbo's link. //
I did. And I've explained why the four links I've provided address that point: von der Leyen is in effect speaking after the choice has been made to cooperate.
As to those saying that we would have been sucked in to the EU's approach had we stayed inside, there are two points:
1. We can hardly know this for certain, given that this is a counterfactual. It's clearly possible. But as explained above it would have been a choice the UK could make, o not; and it would hardly be the fist time that we'd gone our own way (see eg Euro, Schengen, a few other opt-outs, etc.)
2. Perhaps most importantly, though, this is a completely different point from the one that Hancock made to start with, and that was propagated since by the speaker in the interview sampled in the video. Political pressures may or may not have led the UK to taking a different path; but as a legal question -- as a matter of EU regulations -- it's unambiguously wrong to claim that Brexit freed us from them in this instance.