Not 100% sure what you mean by getting the discs 'skimmed' ? If you alluding to getting the job done using an on car brake disc lathe it is often more trouble than it is worth.
On modern cars (particularly on the front) getting access to both sides of the disc the calliper has to be removed, by the time you have gone that far you are one tiny bolt away from popping the disc off and chucking it the scrap bin. New discs are quite cheap these days.
We put the disc lathe on the rears of my C55 some time ago after part of the swept area showed signs of previous damage. It was more of an exercise in blowing the dust off the lathe than saving £90 on a pair of discs (which I have in a box in my workshop , but the carbon ceramic pads I have fitted are very gentle on discs) . The results are quite good , but you can't really use it on drilled discs if you have them.
My bloke normally only uses the lathe on big old 4x4's where front disc removal is a complete pain and the farmer who owns the 4x4 is a tight Ba$tard.
I too am curious as to how a sharp edge on a brake disc would cut a sensor wire. ? As Bellow says the lip will stop you from being able to use a normal Vernier to measure the thickness but 'special' brake disc Vernier's are available if you want to go that far.