The terms "push draw / pull draw" are basically meaninless terms unless defined by either the golfer's alignment or by the target.
If defined by the target line, and the golfers alignment is at the target or left of the target, then anything that starts right of the target line and moves back toward it could properly be defined a "push draw". However, if the golfer lines up to the right of the target, he could hit 3 types of "draws" - "push" if it starts right of the alignment, "online" if it starts on his alignment (but still right of the target), and "pull" if it starts left of his alignment (but still right of the target).
So calling anything that just happens to start right of the target a "push" draw is misleading unless the players alignment is factored in.
For me, I prefer the "online" to slightly "pulled" draw as trying to hit a "push" draw tends to get me too much under plane.
Bruce