Nope. The higher the pressure, the colder the first stage, the greater the chance of free flow. The same thing can be said about second stage freeze ups -- the greater the flow, the cooler the reg, and the greater chance of ice build up. A lower IP actually puts less stress on the guts of a reg and makes it more reliable.
The worst thing for first stage freeze ups is moisture rich air from the compressor -- not normal. Nitrox helps this a bunch with all the filtering going on. I think most freeze ups are second stage freezes in hi-pro regs tuned up for extemely easy breathing (ie. high flow) from the factory. I've had my sealed T50D freeze up, but the IP was set at the factory way too high for cold water diving, and I ain't talking the panzy 45-50F cold that reg manufacturers call cold. I'm talking about really cold waters less than 35F.
If you get a freeze up, catch it early (they start slow and build up), isolate it, switch to redundant reg, swish the reg around for a while and try it. The ice should melt, and you'll be good to go.
Mike