The finesse required to control the aircraft would require extreme luck and extensive experience maneuvering that type aircraft in the high AOA/post stall environment. Where are you going to get that experience?
Outside of being a test pilot, probably nowhere. There are probably good reasons for the training emphasis on stall prevention. Ouch, it's almost a Catch-22, isn't it?
FWIW, low altitude stall won't just kill the folks in the big jets. Lost a classmate to ATS in a T-2, NAS Meridian IIRC. 80's. A few years ago a T-34C was lost with both pilots in a landing pattern stall: either skidded turn stall, or ATS, I never got to see the final report. Both stalled below 1000 feet. Even being in a responsive and comparatively nimble trainer, unable to overcome surprise and recover in either case.
Which takes me back to this mishap: I suspect that crew surprise hurt any chance at recovery.
Some one up there said they turned into test pilots with no notice. Seems to be the case.