From the author:
When customers come to me complaining of tuning problems, improperly wound strings are the number one culprit. If the string is not properly wound around the tuners post it will slip, when you loose tension you loose tuning. This is also the reason locking tuners were created...to reduce string slippage at the tuners by gripping the string firmly (of vital importance to tremolo users).PDF: 5 Step Guide To Winding Strings Properly Around The Tuner
If you wind your strings as shown you will have much of the advantage that comes with locking tuners.