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The answer appears to be no. The relevant behavior of the TemperingValve is

If the temperature at Stream 2 Source Node is warmer than the setpoint and the inlet flow is cooler than the setpoint, then a controller determines how much flow should bypass the storagew tank to achieve the desired setpoint.

I was hoping to switch around the Stream 2 Source Node and the "inlet flow" node so that the relationship of warmer would switch to colder. Alas, energyplus did some additional checks on where those nodes were connected, caused some severe errors, and in general did not work.

The answer appears to be no. The relevant behavior of the TemperingValve is

If the temperature at Stream 2 Source Node is warmer than the setpoint and the inlet flow is cooler than the setpoint, then a controller determines how much flow should bypass the storagew tank to achieve the desired setpoint.

I was hoping to switch around the Stream 2 Source Node and the "inlet flow" node so that the relationship of warmer would switch to colder. Alas, energyplus did some additional checks on where those nodes were connected, caused some severe errors, and in general did not work.




Post Script
Boy do I feel dumb. The ThermalStorage:Ice:Simple appears to do exactly what I want!

The ice storage model includes an implied 3-way valve to control the amount if charge/discharge based on the incoming water temperature and the outlet node setpoint temperature.

Now it's just a matter of controlling when the ice tank is available, charging, etc.