I have Desire and Dollymix. They are different. Desire is matte and less pigmented than Dollymix. You can stay pink with more build up whereas Dollymix is quite pigmented which allows you to go from pink to a more intense flush. Also it's a Sheertone Shimmer formulation. From my perspective (C35) Desire is more of a cool pink whereas Dollymix is neutral, not too warm and not too cool, very universal.
I don't have Pink Swoon so I can't comment on that one. hth