It is checked but I think it is only commented on as an advisory if the pads are worn.
There must be a minimum of 1.5mm of friction material remaining to pass.
They don't remove the wheels for an MOT inspection so they can't measure them, instead it's subjective observation that often results in an advisory. Same for disc thickness. I had an advisory at the last MOT for front disks and thought they might have been trying it on but when I measured them last week they were only 0.1mm above minimum thickness. Well done MOT tester and new discs on order next week.
Avoiding an advisory on your MOT history might be good reason for not allowing pads to get down to the wear sensors. I noticed my rear pads are down to 4mm which is well above min thickness but perhaps not far from an advisory so I will be changing those too.