Murphy, as you broke that down, you end up part way through the sequence with this progression:
"I push the stick forward, I am now stalled again, I need to pull the stick back" which is a valid response in inverted flight.
In re roll oscillations: is that characteristic of an AB in a stall, or a symptom of the usual auto trim/auto correct dampening functions dropping off, or a combination of the latter and a pilot seeking a stable condition?
(Recalling SAS off flying and how sensitive it is to inputs ... )