Do you think if you play enough songs in odd time signatures (5/4, 7/8, etc) that those will eventually start to feel "natural"? I know the ear/brain probably feels the most at ease when the rhythm of the song stays grouped in beats of 2,3 or 4 from start to finish. Though, can't you break down complex time signatures into combined groupings of simple beats?
you'll have to try it and see