My car came with Bridgestone S-01s which were great and really suited the car.
When they wore out at 45000Km I decide to try the Michelin Pilot Sports instead of the S01s or S02s.
What a mistake that was, the tyre's shoulders/sidewall were too soft for this car ( quite front heavy and skinny comapred to the rear ) and squealed and understeered a lot on 90 deg turns. Wet traction upon acceleration was poor compared to the S01s. On the plus side they were very comfortable and quiet, and their drop off in grip quite linear all the way to the end of their tread life.
At 90,000Km I replaced them with a set of Bridgestone
RE050s ( S-03 not aval in Aust in 245/40 size ). They have been fantastic, it's OE on the C32 and the Ferrari Enzo specified them too. They are very progressive and the tread design is quite heavily treaded ( high % of sea to land ratio) and can get very tipsy and overheat very easily on the track when the tyre is at full tread depth. On the streets they are great, rides better then the S01s but still some way off the suppleness of the Michelin Pilot Sports.
May be AMG choose a tyre with rigid shoulders/sidewalls in mind for their suspension setup in mind and hence the Michelins do not fare so well here, even though they are fantastic on some sports car like the Porsches 996s and 986s.