You've shown that some trees push back.. but saying that all trees push back is complete nonsense.. which is expected coming from you.... did you ride the short bus for those 8 years????
Here's a large oak top going over... no apparent movement in the trunk until after the top is caught by the rope and then a little more when it swings back into the trunk... bucket was maxed out at 75'... bucket doesn't move, so any topping oscillation would be very apparent by contrast... push back and spring return have no effect on this top, because there is none!