The following is something I learned years ago and understand it was taught to aerobatic pilots. Hopefully one is at a good altitude. "...memorize the following"... if you find yourself in a spin and don't know what to do: (1) pull the throttle all the way off and let go of the stick. (2) Push the rudder pedal the opposite of the spin; if the spin doesn't stop, push the other rudder pedal until the spin stops. (3) Pull out of the dive gently."
I understand it has saved many a pilot.
Cheers and happy safe flying everyone.
Deal- yes, what you describe is known as the 'Beggs-Muller' emergency recovery technique. It works in many aerobatic airplanes from any type of spin you might find yourself in. However, there are some airplanes, in certain spin modes that will not recover using this "hands off" technique. The Decathlon is one. It has an inverted spin mode that actively requires the stick to be moved aft for recovery. Gene Beggs' book is well-worth reading.
The other accepted emergency recovery technique is the one that Bill Finagin advocates in the Pitts - pulling power to idle, looking inside the cockpit, visually moving all controls to neutral, wait for 100 MPH to show up on the ASI, and pull out. This works in the Pitts in any spin mode. It will also work in many other airplanes, but unless either this or the Beggs-Muller technique is tested across the entire spin matrix in each aircraft type (across the whole CG range), there are no guarantees. Active input spin recovery will always be quicker and more assured than one these two "emergency" techniques.
The point of the emergency techniques is to mitigate pilot confusion by standardizing the recovery inputs, regardless of spin type (upright, inverted, left, right, flat, accelerated, etc). However, the Beggs-Muller technique only gets you halfway there, since it still requires pushing the correct rudder. But it does not require you to figure out if you're inverted or upright and whether to push or pull the stick to reduce AOA. Don't count on maintaining full situational awareness if your first crossover spin is by yourself.
As long as it's proven to work in type, I prefer the neutral control technique that Bill Finagin advocates. It does not require you to figure out which rudder to push, or which way to move the stick. Simply neutralize everything. I've tested both techniques in the Pitts, and Beggs-Muller does recover the spin slightly faster than the neutral technique, but if you are flying at a reasonable altitude, this slight difference should not matter.
99.99% of the time, aerobatic pilots will be making active recovery inputs from deliberate spin entries. Complete control at all times. But in the event of accidental departures, and when the airplane does not respond to your recovery inputs as expected, either of the emergency techniques are essential to have in your bag. But you must recognize when it must be invoked. Last summer, a Canadian Pitts pilot did an accidental crossover during a practice session for a competition, and did about 10 inverted turns after crossing over from what was intended to be a 1-1/4 turn upright spin before hitting the ground. If he had been current with emergency recovery techniques, and realized that it needed to be invoked after the airplane clearly did not respond as intended (that's the definition of loss of control), he'd be alive today. Many others too.