Since no one replied and I couldn't find much information one way or the other elsewhere, I decided to try it myself in the cheapest way possible. I snagged a $10 SIM starter kit for Consumer Cellular at Target. They run the AT&T network. I bought the cheapest minute/data options I could. Setup wasn't painless as I had to go through two or three different sets of APN settings for Consumer Cellular before I found the one that worked, and it required multiple reboots for some reason to get the DNA to accept the new APN settings. And at every boot, Verizon pops up a nag message saying the SIM is from an unknown source.
But everything did eventually work. Call quality was noticeably better than Verizon. There's no LTE obviously, but it did work fine on HSPA+ and speeds seemed as snappy as Verizon's LTE aside from a slow connect time. I guess on GSM networks they still have to take a second to "connect" data, like it did in the old days when it was just GPRS and EDGE data. That delay before data came through was annoying but only if the connection fell idle. Using Waze kept the connection open and the delay went away as long as I kept the connection alive that way.
The signal strength meter seemed to behave different, too. It almost never registered more than 2 bars, and I only saw the full five standing right in front of an AT&T tower, but I never lost signal and never had a place where there was no HSPA+ or HSDPA 3G service. Standing on my front porch, running SignalCheck Pro, it showed me connected to a tower several miles away, with the phone seeing a whopping 15 other cells nearby. I've attached a screenshot showing the cell info.
The service and data speed certainly seemed adequate. HSPA+, which is technically still 3G for AT&T and T-Mobile certainly blows the doors off EVDO or eHRPD 3G on Verizon, but in the end AT&T's lack of compelling handsets means I'll probably be sticking with Verizon and picking up a Moto Turbo next month.