If using LED you want warmer canopy temps than with HPS due to the LED lacking infrared wavelength to warm the leaf surface temps. With LED I want canopy temps around 85F and with HPS more like 80F (those are with CO2 at 1000 - 1200 PPM).
If you let the roots get cold it will slow growth and limit yields. Cool night temperatures are a limiting factor as when the plants have warmer nights with ample water and they had ideal conditions during the day they will grow at night. What substitutes for light are the sugars the plant synthesised from the day before and stored specifically for use at night.
Also allowing night temps to drop will spike humidity levels and when your biomass hits a critical level you will likely end up with issues like powdery mildew.
If it were up to me I would do what is required to make sure the day canopy temps are good for my lighting and the night temps stay above 72F.