There is a very important demonstration for glider pilots who winch.
Nose up 40 degrees.
simulated cable break.
nose to recovery attitude of 30 degrees nose down.
initiate turn without waiting for airspeed to recover using aileron and balancing rudder whilst looking over your shoulder at the airfield.
Add more rudder to "increase" the turn rate.
Nose starts dropping
Heave back on stick
Still killing pilots but not so many as part of the annual flying checks in the UK.
As to ground speed verses airspeed...spun a paraglider three times now on a steep slope with the wind partially across the slope giving both upwind and downwind beats added to wind gradient....and I've got fifty years of flying...there but the grace of Dog...