Hi, No, not really. I think 'hate' is more commonly heard today, so 'hatred' sounds a little more formal, possibly more 'abstract', more divorced from the real world. We speak of 'hate crimes', whereas it sounds odd to speak of 'hatred crimes'.
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As I grew up (I'm old!), "hate" was a verb, and "hatred" was a noun. I recognize that there is a "young American vernacular" in which "hate" has become noun; but it STILL hurts my ears to hear it used that way.