No, it would not be inconsistent.
And planting Coalition hardware near an accidental anti-aircraft missile hit is indeed one viable option.
I am speculating here--I don't have hard data. But it seems to me that an anti-aircraft missile would be very likely to have a high-shrapnel warhead as well.
Such a missile hit would require that the warhead fail to explode at altitude, and fall to the ground to explode there. I don't know how common such failures would be.