I'm neutral, too - as long as the professor isn't being biased towards that TA in grading or observing, I think it's fine. I can also see where a university is coming from in that it might not look completely legal or professional, but as many have put it before me, it's nobody's business who anyone is dating.
I'm planning on having this question run for a week, so if you have ideas for future questions, feel free to post them