Yeah, it is all in the technique once the saw is properly tuned. I've also tried pulling ever so slightly to the right and to the left on alternating strokes or every x number of strokes for example 5 pulls to the right followed by 5 to the left and that works fine. And not being overly focused on the line, that is to say not exclusively on the line but just as much on overall balance, feet centered on the beam shoulders perpendicular to that and relaxed, and a light grip. I also watch the blade to see that it is straight and vertical when it's tensioned.
Whether or not it is realistic to expect to cut a straight and vertical line in one shot I cannot say. An old teacher of mine in cabinetmaking school told me he always cuts from both sides.

Regards,

Don