That, my friend, is the flag that determines the winner in this question.  When it comes to men and women, it's not a question of better, but connectivity.  By the way, either of the genders could switch the type of gift they present and still miss it by a mile.  Some try to hedge themselves by asking the opposite sex what would make them happy in order to circumvent getting a weak gift for their partner.  Yet, they would have been better off just going with their own feelings and picked a gift that best portrayed their understanding of their loved one.  At the very least, a poor gift presentation could open up a communication route through which you could find out why you're not in synch with your companion.   Though we share many similar traits, we are all unique.  What one man loves, may be only a passing fancy to another.  What makes one women cry tears from being touched, may draw tears of being misunderstood by another.  It's best to seek that emotional connection, and that only comes with spending time communicating with a person.  Talking is not necessarily communicating nor is hearing the same as understanding. 

Effective talking involves an exchange and acceptance of the other person's point of view.  Listening involves understanding the perspective of the other party and responding from that angle.  If that's not reached, then no gift will rate as good regardless to which gender gives it.  So keep in mind that it is not so much the cost or even the type of gift given, but the emotional connection that comes about from the gift.  And I've seen both genders achieve that level of gift giving with presents of all kind, all because they were in tune with their partner.