I submit that it works like this: the oil gets thicker, it does not flow as easily anywhere although the pump still puts out the same amount of oil, that causes the pressure to go up, which opens the regulator a little more than it was when the pressure was lower, this causes a HIGHER PERCENTAGE of the total flow to go through the regulator instead of into the e-shaft

Just a logic check – if the pressure is higher at the regulator, it is also higher everywhere in the gallery, including in the e-shaft. So why would the proportion change?

 

Al G