I'd say that might depend on how the thermistor has failed. If, for instance, it's physically broken in such a way that a lead is not making good contact internally, the readings could be changing as you switch meters and move it slightly, changing the contact resistance. Are the readings consistent to the meters as you change them (eg, meter one measures ~100k each time, meter two reads ~3M each time and meter three reads ~427.65 ohms each time), or do they vary considerably as they're switched out (meter one reads 100k one time, then 375k another, meter two reads 10M then 1M) etc., etc?
And are you sure it's a thermistor, and not something else like some kind of temperature sensing IC instead?
-Pat