there's a bit of blurb in the v6.6 manual- and IIRC something slightly more detailed bit chenglish in the original Sprsun manual. But broadly, Day mode allows use of the full performance envelope, Night caps it for low noise, and low is weather comp. However, even the non WC modes throttle compressor speed based on ambient temp so...
what might be useful for you is U02- startup differential and shutdown differential. They control how much below setpoint the unit starts, and how it slows down as it approaches setpoint.