Yes, i am using glass thermistors with good results. They are pretty expensive now.
In my oven setups the thermistor serves to control the oven heater, providing very low temperature noise.
There is another thermometer for the critical device inside the oven, usually a pn junction (-2.1 mV/K) or a Pt resistor. An outer control loop fine-tunes the oven set temperature to bring the DUT to the desired temperature. Need to take a closer look at the temperature drift data.
The outer oven i made for our ADR1399 evaluation board also has a glass thermistor and it includes a SHT35 temperature/humidity sensor. After nearly a year the SHT35 temperature may have drifted +10 mK but that isn't a measurement, more like an upper limit. That oven isn't really hermetic and there has been a large drift of humidity. When talking about sensor drift, you want both constant temperature and humidity.
Regards, Dieter