Yes, this difference between the milliliter and the cubic centimeter was well known among the well trained.
An old chem. textbook has the definition as 1 milliliter = 1.000027 cc.
I looked at a few pages at link
to try to sort it out. Not much help with the old definitions.
I think, with SI/MKS and the redefinition of the meter, etc., they are now the same. However, it is still murky to me just what the EXACT weight/density of water is under the SI.
Edit: Ok, the answer is in your orig post. water weighs a little less than 1 gram/cc. The ml had been defined as the volume of 1 gram of water - a small amount larger than 1 cc.