Due to your experience you should not be going beyond a functional operation check then hi-light your findings, the minute you go deeper you become the responsible person of the control system as you are the last one to mess with it.
This brings up a very big question 'Why hasn't this been found before?'... E-stops should be frequently checked by regular maintenance and operator checks, to say 3 lines all have the same issue shows massive H/S breaches or you have got something wrong here.
As you can't answer my other questions and as your in training according to your profile (update if out of training) you should really be asking your competent person in charge of looking over you and not on here first, he will know the machines and advice accordingly where we have to guess.
Do all the E-stop work the same and look the same and are they marked up accordingly all as E-Stops?
You have qualifications in Electrical Installation so what are you doing dipping your toes into Electrical Engineering grounds... I would tread carefully here if you or your company involve yourself into area's your not competent in and an accident occurs you could be liable without a leg to stand on.. Ill reiterate that you only really should do a functional test and report it for the attention of a competent Engineer to actually fault the issue, as you suggest the E-Stops have been added all at the same time it would require someone with control system regulation knowledge and risk assessment training to see if the upgrade meets requirements.