Here are some insights of go arounds with larger airplanes:
If you fly an Airbus 320 or a Boeing 737, during a go around, always the flaps are retracted first by one step or to a certain position. Then the gear is retracted after the positive climb is confirmed.
With the Airbus A320, the call of the pilot flying would be "go around, flaps". Then the pilot monitoring checks the speed and retracts the flaps by one step and confirms the action. Then the pilot monitoring checks the attitude and the climb rate + rising radar altimeter and calls for "positive climb". Then the pilot flying calls for "gear up".
For example, if we land an Airbus with full extended flaps, it is a flap setting which is never be used for a takeoff. Retracting the flaps by one step brings the plane in the same configuration which may be used for a normal takeoff.
So, retracting the flaps first brings the Airbus into a known takeoff configuration.
My Mooney M20F manual does not say anything about go arounds. It looks like that 1967 no go arounds were flown.