The F4 was reasonably predictable when it departed (and I did it too often!) - if you were quick enough to unload it, the recovery was rapid, especially in roll. The spin recovery used no rudder but full in-spin aileron, and there was the drag bag too. Flat spin was not recoverable.
ISTR in the those days of STC just culture (you screw up, you're screwed) a high AOA briefing that ended with: "And if you are still spinning at 10,000 ft, eject and take your posting like a man..."
I also enjoyed teaching JP spinning to the Iraqis. OK, enjoyed is probably the wrong word. By the time they had got the 2 second pause out of the way with the laboured verbalising of 'one thousand, er, er, two thousand', the full opposite rudder had quite often turned into full pro-spin control as the direction had reversed. This was usually followed by some noises of confusion followed by QFI resuming control. Happy days.