True. But - - -OP you will not get high accuracy due to thermistor self-heating. You'll find the mW dissipated in it warms it much more that 0.1°C and readings will be sensitive to airflow across the thermistor. Drove me nuts trying to figure that out error, but switching power on only when taking a reading, and off otherwise fixed that.
Whatever is doing the power switching now is in series with the thermistor, and adds three more variables to the error budget. If you switch power to both sides of the measurement bridge through a single switch device, you reduce one of those error effects. But there still is an extra voltage drop between the sensor power source and the sensor, caused by a bipolar transistor Vcesat, a FET's Rdson, the output voltage of a uC GPIO pin, etc.; and that voltage drop has both a non-zero value and a temperature coefficient.
ak