Not really, that's like saying "they relied on closing the doors to the aircraft to achieve supersonic flight". Both happened, but aren't related if I'm reading the comments correctly.
That's a really dumb response. Yes, it relies on closing the doors to achieve supersonic flight too.
The Boom plane doesn't rely on afterburners at any point in the trajectory to achieve supersonic flight. So yes, you would be reading the comments incorrectly.