I think your experience is common. I never had any trouble "hearing" meter in poetry (though I'm completely oblivious to time signatures in music, which feels l

I think your experience is common. I never had any trouble "hearing" meter in poetry (though I'm completely oblivious to time signatures in music, which feels like it ought to be very closely related) but know plenty of people who do. One other practical impact of this is trying to learn languages like Chinese where a stressed versus unstressed syllable is very often the difference between two completely unrelated words.