Ultimately, every RTR is only as accurate as the measurement technology it contains. And the range of room temperature fluctuations depends on the size of the control hysteresis. Both can be good or bad in digital as well as analog thermostats.
We already use the RTR a lot. The bedrooms and children's rooms are usually set to 18 degrees. The living room is throttled at 22 degrees. The bathrooms always have full flow and thus reach around 25 to 26 degrees.