It doesn't make a difference 99% of the time.
That being said, rarely sometimes people do help themselves. I can think of one situation where it made a difference in all the second looks I've had over the past 4 years.
Good application, great interview. That's all you need IMO. When candidates ask me about a second look I usually discourage them to do so, unless they really want to come back and see the ED for them. I flat out tell them it really doesn't help them.
If you really do want to go back and visit a place to see how it runs, see how people interact, etc, then by all means, go back. But otherwise, just interview well.