I can tell you from my experience that I am absolutely 100% sure that using the drionic machine for my armpits caused compensatory sweating, mainly on my back and groin. This was not a case of just becoming more aware of sweating in other areas.
For example, I never used to sweat a drop from my back during exercise. After about 2 weeks of effective drionic treatment on the armpits, I was on at the gym and a friend commented on how incredibly sweaty my back was after about 20min on a treadmill.
My experience w/ Botox was different in that sweating in other areas has never increased. Not sure about the reasoning, but possibly something about how Botox hinders the neurotransmitter that relays the signal, while iontophoresis is thought to work as follows: "electric current and mineral particles in the water work together to microscopically thicken the outer layer of the skin, which blocks the flow of sweat to the skin's surface"
Another good thing about Botox for me was that after about 5 treatments (one every 6-8months), the excessive sweating seems to be gone. I still leave small sweat stains in a tight t-shirt if it's hot or i'm exercising, but the armpits sweat a lot less than my back, face, groin, trunk, etc.