Do the existing/defined DALI protocol commands include color temp adjustment?
It is not manufacturer-specific, it was standardised in IEC 62386-209:2011 
Digital addressable lighting interface - Part 209: Particular requirements for control gear - Colour control (device type 8) 
https://webstore.iec.ch/publication/6965

This covers four colour control types:


XY Coordinate
Tc Colour Temperature using a Mirek scale
Primary N    direct primary
RGBWAF Red Green Blue White Amber Freecolour.


It is optional which of these types are implemented in a gear which supports part 209.