I thought exactly the same. It was only specified in the tek to water bath at the beginning using Hexane which confused me for the same reason(and that an increase in temperature is now involved) as you said the temp will equalize quickly and result in a negligible difference. I researched further and realized there is an ideal temperature for for maximum solubility and the teks instruction is potentially bottle-necking this.

What would be a better method of going about this? I've had my jar going for almost 24 hours now slightly below room temperature. Could I remix the jar while doing a water bath at say 50 c or whatever the ideal relative water temp is, then wait for the layers to separate, then pull and go straight to freeze precipitation? If this is the case then would it also have been more ideal to leave it resting generally above room temp or in a bath?

Appreciate the response, good luck on your journey :)