Nope. I even pulled the dryer out by itself, hooked it straight to the tank, and got no ignition. Bled the lines (even while the dryer was running), etc...
I would be inclined to believe that it's a NG-LP conversion gone awry, but the propane water heater that I purchased brand new (and has electric ignition) also doesn't work.
Am I supposed to turn the tank upside down or something stupid like that?