In my book it doesn't count if someone has to give you a push and/or someone allows you to draft. I think it should be 100% independent from 0-top.
I had a friend I used to play golf with, and he didn't think it was a problem to improve his lie. In other words, he would approach the ball and move it an inch or two until it rested on a high spot in the grass. I would start counting strokes out loud each time he touched it, but it didn't phase him a bit. He'd still do it and then write a score that he liked. He didn't think it was cheating because he wasn't moving the ball closer to the hole or significantly sideways to get around an obstacle, but it's still against the rules to touch the ball (on the green is different). He also took mulligans, which I can't stand. I like to play it pure from start to finish, even if the first swipe is a gaff.
So if a couple guys push you to a balancing speed, then you have not achieved anything under your own power.
I also claim that even though the Wright Brothers invented the first practical airplane, it was still a joke that they had to use a pulley system to get it off the ground. It wasn't getting up to speed on its own power. Sure, in the soft sands of Kitty Hawk they didn't have much of an option short of building a runway, but when they demonstrated their plane five years later in Paris, they still needed their weighted pulley system to get the plane moving.
