I think the real question is--is there ANY upside to having the two bands share the same SSID?
I don't think there is. I like to know explicitly which band I'm connecting to.
No real impact one way or the other - depends really on what your user experience is...
Keep in mind that SSID represents a wireless LAN - not a single Access Point or Radio - once you get beyond a single AP/single Radio configuration, you should keep the SSID for all AP's across the bands if you want seamless transitions - consider streaming media or VOIP application for example.
Older dual band AP's, esp in the consumer space - they had some early issues, but mostly resolved these days - better drivers and network stacks. Same goes with the client drivers, esp in Win7/8 and OS X 10.6 and later.
Real world example - I've got a two AP dual band solution here at the house using Ethernet to backhaul to the roaming AP - all common SSID, and my dual band handsets and tablets usually pic the best radio whether I'm in my home office, out in the family room, or in the backyard - typically they'll pic 5Ghz if the signal strength is good, and they'll hand down cleanly as I move away - get closer to the AP, they'll typically wait a bit before rescanning and pick up the 5Ghz band.
The challenge with having different SSID's - usually you'll have to lose one connection before reconnecting - if you don't move around much, this isn't a big deal, but if you do, you run the risk of dropping any connected applications.
at the risk of repeating myself - the SSID represents the WLAN, not the AP or radio in use.