I never hit on men ever, but once I meet a guy I like, yes, I much prefer being pursued.
Here is a good example: I was at a reunion party last weekend, and the one guy who actually had the courage to come talk to me, then hit on me, was an ex con, fresh out of the federal pen living with his Mom and was in and out of prison his whole life.
My male friends say only the losers will approach you because they don't care about rejection, it's a numbers game, but otherwise men feel you will reject them.
So maybe I need to pursue a little.....