Ah ! red head are we?
It is the alcohols (those that aren't ethyl) that are (or attach to) the colourants. The liver can't digest them as fast and clog the liver and ......
is this too much info for an aching head?
So the message is less of the alcohol that has colour, and maybe flavour, stick to Vodka, and less of it.
In the same vein, might I suggest that the cure should be aimed at the imbiber not the offending cranium?
I know, I know, not funny right now.......