Herpstats have an internal resolution of 0.1125 °F and are accurate to ± 0.9 °F
So yes putting the herpstat probe directly into the tub would be the most accurate regulation of the heat source, and would for the most part eliminate the need for a thermometer, but there are risks to putting the probe inside the tub. If the probe gets moved by the snake your $100 + thermostat is 100% useless
Personally I would keep the probe on the outside of the cage and use thermometers to monitor the in cage temperatures.
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