Yes indeed. It makes me wonder if you could set up a fuzz to run on a lower voltage battery to provide permanent flat battery sounds. I've seen pedals with knobs to replicate the flat battery rip but never heard of a pedal modded to run that way permanently.
That's one reason I was gonna go with the Decibel Eleven Hot Stone Deluxe, ten isolated outputs including two variable outputs for drained battery awesomeness... Dial in the required power, get 'brown'...
The battery in the tone-bender is the one that was in there when I bought if off some guy. It's very flat. Sounds like velcro.