As far as daytime warm-up, when I worked for Trane the IntelliPak rooftop units did have an option for daytime warm-up which was a different function than morning warm-up. I believe it was only used on VAV heating units. If during the occupied mode the zone temperature dropped below the occupied zone setpoint (user adjustable) the RTU would transition to daytime warm-up. The unit would basically operate as a constant volume unit, all the associated VAV boxes would be commanded to full open, the VFD would go to 100% and the heating capacity would also go to 100%. When the daytime warm-up setpoint is achieved, the RTU would transition back to its normal mode of operation.
I am pretty sure the setting can be disabled.