Cool post! I've had the pleasure to do some of this testing IRL on the Viper. Here's a couple things I can tell you (if you're interested in learning more):
1) Watch this video: https://youtu.be/Rv9YC-gaNYo. The maneuver shown here (and in the video from mvsgas's post) is a "break turn" or "slowdown turn". To check new flight control software, the jet is intentionally loaded asymmetrically (usually 2 AIM-9's on the left (STA 1/2), 1 AIM-9 on the right (STA 9), a centerline 300 Gal Tank, and a targeting pod). This loading makes the jet very "squirrelly" at higher AoA and causes it to be directionally unstable (yaw). To mirror what is done in the HUD footage, set your flight path marker (or velocity vector as those Hornet folks call it) ~5-10 deg, roll ~90 deg left or right, and let the nose slice to the horizon (while neutralizing your stick input). Once the FPM hits the horizon, apply abrupt full aft stick and have fun! Depending on what side you loaded the missiles on and what direction you rolled before the pull, your nose will either slice up or down because of the asymmetry and you'll depart. This is due to the rudder being "washed out" at high AoA and being unable to combat the inherent asymmetries present with a configuration like that. Sweet spot for stuff like this is >35K ft and between 250-300 KCAS (transonic, as mentioned in the video above). The jet won't always settle into a deep stall (i.e. falling leaf motion) and may sometimes recover by itself. But if it does, you have the recovery procedure more or less down. Throttle to idle, engage MPO, and cycle the stick in phase with the motion of the pitch oscillation.
2) The maneuver you described (while being effective at departing the jet) is not what was being shown in the videos (pilot does not make any roll input after the aft stick input). The nose movement is completely of the jet's own accord due to the asymmetry I mentioned above. However, there is another maneuver done in testing that is similar to what you're describing. It's called a "roll-coupled departure" and there's a really old video of one from the Blue Angels somewhere on the internet but I can't find it. Basically, a combination of full roll and pitch is input at the same time, held for ~270 deg of roll, and then the pitch stick is reversed. This causes inertial coupling and the jet can no longer keep up to maintain control. There are some other maneuvers done to test this stuff as well but all the cool videos come from the SDT's and Roll-Coupled stuff.
3) I've done a couple departures so far in DCS and the FM is close to real life, but not quite there yet. From what I can tell, it more resembles the Hornet's characteristics, with some tweaks for the Viper. Real Viper will totally get "stuck" in a deep stall/flat spin. In DCS, it seems like there's more of a natural tendency for the Viper to get stuck at limiter AoA rather than the full "falling leaf". Impressive FM'ing on the part of ED nonetheless.
High AoA stuff is really cool and you get into some really weird flight regimes. Weird mechanics start to come into play so you start to experience some really "exotic" phenomena while testing this stuff like control reversals (i.e. left becomes right, right becomes left. Hopefully this was good info for you!