It's not that there is no benefit to better balancing, it's just that I've never seen it have anything close to that impact. It seems like it's only being perceived as a problem here because somebody drank too much of the (old) kool-aid.
Some of the other numbers are hard to take at face value as well. 6000ms avg on a specific page? If requests are getting distributed randomly shouldn't all your pages show a similar average time in queue? Sounds more like they're using a hash balancing alg and the static page was hashing on to a hot spot.