@Ash_Jhb
I wont get tangled into the discussion of skimming or not, in my "non qualified diagnosis" based on your explanation of the symptoms its is clear that one or more of the discs are warped slightly causing them to run out of true. This is called run out and is check for with a pin type dial gauge. So while your discs may be within manufacturers thickness and not requiring a change this can still be an issue.
The "tech" meaning appie needs to do a run out test on your car and check for warping on the rotating parts and replace accordingly. i am posting two links below to share more information. The second link is from a bike site but they have a graphic that clearly indicates how a disc out of true wobbles.
This article will outline the diagnosis and repair of a bent or warped rotor, both when using common hand tools and using a rotor truing gauge such as the DT-3.
www.parktool.com
Some side information on why this happens, braking from high speeds or long sustained braking causes exceptional heat build up, typically if you kept moving the air would move that heat away and all will be good, however if you came to a rapid stop and remained stationery while keeping pressure on the brake pedal then all that heat has nowhere to go and essentially creates a hot spot on the area that is clamped on the disc. Stopping a big luxobarge creates a large amount of heat energy that has to go somewhere.
good luck!