I didn't read all of this terribly closely, but there is one assumption that these all make along the lines of what others have said ignoring other buffers. This assumes that your pH and CO2 are directly related and mutually exclusive. The fact is that there are many other things that will affect your pH. From a ballpark point of view, this can be a reasonable approximation. From a quality control chemist point of view (me), I wouldn't lean to hard on it, as we say in the lab. But I admire your observation, in an ideal situation that would indeed be the case. Good luck finding ideality in this world though =)