Yes, I have heard a few balanced setups, including owning the DP-X1 and using it balanced with both a PM3 and a 400i. I could only benefit in terms of more power from balanced, but if you think these tiny differences are audible that is fine, I have never told you what to believe. To your point about free and open discussion, it seems people sometimes interpret that as meaning those who agree with me are free to discuss what I agree with, but those who don't should be quiet. I don't believe I have been disrespectful or strayed away from a factual, evidenced based position. From personal experience, albeit not the most exhaustive, I have not been able to hear any differences, but I do acknowledge that there are both theoretical and mechanically measureable differences. What I have said before and I will say it again, I have never found anybody to conduct any real experiments that demonstrate this predicted audibility. Perhaps if some robust (easy enough to do at home) experiments were actually done, maybe evidence to support the audible advantages of balanced versus non-balanced will emerge, perhaps not.
Don't get upset with me, prove me wrong. get multiple subjects, do multiple blind listening trials conducted by somebody impartial and see how things shake out. I actually hope you are right (and you just might be), I love audio equipment, and I love reading about thoughtful component design. I would easily spend more money for even modest, but audible benefits so I'm all for balanced, not against it, I just want more evidence then hundreds of people saying trust me, I hear it.
Anyway, this type of discussion is not allowed here so I should desist. The better tactic would have been to PM the OP with my thoughts to avoid this. I'll likely even erase this post after I think about it. Shame that those who question are banished to the sound science forum.