Ok, that's way
The brewers I know with plate chillers don't have a second ball valve on their pump outputs for switching between recirculating vs filling fermenters.
They just drape the pump output hose in the kettle and recirculate for the last 5 to 10 minutes of the boil to sanitize the chiller and plumbing. At flame out they'll run the pump until the wort is chilled down to near pitching temperature, stop the pump, stick the output hose into the carboy and turn the pump back on.
Interestingly, none of them whirlpool the wort in the BK. Whatever was in the BK ends up in the carboy, break and all...