Mozella
It is possible/probable you may have to re trim when inverted, but that is different from "lets just roll inverted and get a gentle push up"
I would describe the action required to fly level inverted as applying forward pressure to maintain straight and level until re-trimmed. Once re-trimmed, no push will be required.
I believe I am correct in thinking that when the phrase "lets just roll inverted and get a gentle push up" was used he meant to push the nose of the aircraft up from the horizontal to get negative g.