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There is no hard and fast rule for me, meaning I have had experiences either way. However, as I'm gay, I try to be extra careful about the interest originating from the other man, especially if he's straight. That's because some straight guys send mixed signals and can take severe offense if I read them incorrectly (because being liked by another guy may be offensive to some men).
I should also say that, in my relationships with men, I fulfill the traditional role of a girl on and off the bed. For that reason, it is more often that I wait for the man to ask me out, sort of independently from my first concern described above.