I have one of the 5DM3's in the affected range. I bought it from Amazon, and it shipped about a week ago.
I can reproduce the issue with the body cap on, and with the lens cap on as well. That doesn't concern me. What concerns me is that I can reproduce the issue in very low light with the lens cap off. I do a good bit of long exposure photography in very dark situations, and this issue will affect metering.
But more importantly, now that Canon has basically said that it is a real issue, and publicly identified the units serial numbers that are affected, I have a Camera who's resale value is seriously diminished. If this was a $500 camera I probably wouldn't care. But at $3500, it's a big freakin' deal to me.
I love the 5DM3, and hate that it's come to this, but I'm afraid I'll be sending mine back to Amazon and waiting for Canon to sort out the manufacturing glitch. In a couple of months once the issue is fixed I'll definitely repurchase it. Until then, I'll stick w/ my 5DM2.