The person making the adjustments is the important part.
This. The more they rely on the computer, the less I would trust them. I've always gone 'by the numbers.' People who use 'Wintoe' are usually just winging it and not actually understanding what they're doing well enough. I've seen way too many people who just 'get it green,' even if one side is one end of the allowed tolerance, and the other is at the opposite. 'Welp, it's green, that means aligned...'
Also, the steering wheel being straight (and no pull) does not always mean 'in spec.'
And know which angles are adjustable on your car...some people will only set toe, even if caster and/or camber is adjustable (and out of spec).
If in doubt after an alignment, post the printout (always get a printout, and make sure it at least lists your year/make/model at the top). The most common scam is the 'I fixed your alignment by turning the steering wheel' ruse.
e.g. - say front toe has a target number (middle of 'in spec' range) of 0. The 'before' numbers read: left -.25 right +.25 (total toe- zero). The after numbers read left: -.01 right +.01 (total toe- zero).
99% chance, all the guy did was bump the steering wheel a little to make the initial readings go into the red, and hit 'save' on the computer. Then he straightened the wheel back up and hit print. Congrats, you paid for nothing. This shit happens WAY too often.