Yes, you do sound asexual to me. I consider myself to be one, also. I have no interest in being either male or female, really. I don't wear make up, high heels, dresses, skirts, or other clothes that are really feminine in appearance. Partly due to big feet, but also because I prefer men's styles, I buy men's foot gear.
If given the choice before birth, knowing what I know about life now, I would have chosen to be male. But I would also have chosen to be normal. I can't have either choice, though. Granted, I am not the happiest person on the planet because of what I am, but there is no point in wallowing in misery over the reality of what I am. At least I can be myself. 
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If a man does not keep pace with his companions, perhaps it is because he hears a different drummer.
Let him step to the music which he hears, however measured, or far away.--Henry David Thoreau