In your tests where you mixed borate and hydroxide, I am wondering if was not the hydroxide doing all of the heavy lifting?
Well, technically, since pH is the driving force, only hydroxide can do anything.
Remember that pH related to the product of the concentration of hydrogen ions (hydronium actually) multiplied with the concentration of the hydroxide ion. The product of this multiplication of concentrations always equals 1 X 10E-14.
This reduces down to pH equalling the negative log of the concentration of the hydrogen ion. As we all probably know, this scale goes from 0 to 14.
However, the scale for pH can also be solved for the concentration of the hydroxide ion, and that scale is called the pOH scale. And it also ranges from 0 to 14, however, it is backwards from the pH scale, so that pOH = 14 - pH. If you know the concentration of the hydroxide ions in a solution, you can also know the pH of that solution.
So you can see, there is nothing here other than hydrogen ions or hydroxide ions to do the heavy lifting.