The current crop of rebels seem to be on the warmer tint side. In the test threads it was reported to have the warmer color, and it seems the Fenix lights with rebels seem to share the same warmer tint. Some folks don't like the warmer tinted LEDs, and prefer the colder ones. Since no two LED's are exactly the same in the amount of phosphor applied to them, some tint differences will be apparent after they are made. Warmer tinted LEDs seem to bring out reds and warmer more natural tones like an incandescent. Colder LED's seem brighter to others and make white/etc "pop" more without looking dingy.
The P2D likely has a cooler tint and you are seeing two extremes. There are LED's out there that might end up right inbetween. I have some P4 Cree's that are on the warm white side, and are much warmer appearing than my L1D-CE. The next crop of rebels may not be warm white, but something else..
It all depends on the "Luxeon" or more appropriate "LED lottery" and not the brand of LED so much.
However companies are keeping the tint variations much tighter now and there aren't such nasty extremes of tint now.