Are you sure the impeler has not fallen off the water pump ?
Some are made of plastic and just fall off the shaft so the pully turns but nothing is happening inside.
I think if the thermostat was buggerd the engine would overheat
When you say the coolant is not circulating do you mean it's not flowing back into the expansion tank when you look inside with the filler cap off or the hoses are not getting hot ?
There is NO nucleus.