If I had to choose between both, I'd go for TdH.
DH smells like warm lipstick, I don't see why anyone would want to smell like warm lipstick. I've never smelled lipstick and thought "I need to smell like that!". I've sampled it extensively, in the end not for me.
TdH on the other side is a wonderful rich and lush scent. Every other wear, I'll discover new layers to it, or a new angle.
In the end, I find TdH to be a classier scent.
But your nose might think different. Sample both if you can ;)