The big difference in cold weather performance from a flow through piston and other first stages (flow by piston or diaphragm) is that in the flow through piston the super cold air flows through the piston and cools it down. All the super cold air actually flows inside the piston, cooling it down.
On a flow by piston, very little air flow actually goes into the piston since it is a dead end. Only enough air to pressurize the piston head. That air goes in and out of the piston. Most of the super cold air flows just past the piston tip and out the hoses. The little air that actually flows into the piston has a chance to warm up. Therefore, the piston in a flow by regulator (like the Scubapro Mk-2) doesn’t get as cold as in a flow through piston (like a Mk-5 or Mk-25).
The diaphragm regulator has similar advantages to the flow by piston, plus (big plus) the fact that it doesn’t actually have a sliding piece of cold metal (the piston) submerged in water. The cold air doesn’t actually flow much past the diaphragm, it goes from the first stage valve to the hoses. Even on a wet diaphragm regulator, any possible ice crystals on the wet chamber are less likely to affect the motion of the diaphragm.
Note: for this discussion above, I was comparing wet environmental chambers in all three examples. With a seal environmental chamber (using grease, oil, or dry type chamber) the concern of water freezing in the chamber is not really an issue.
BTW, (just for information) flow through piston and flow-by piston does not always represent balanced and unbalanced first stage regulators respectively. I have clear examples of unbalanced flow through piston regulators (Deepstar II, etc) and balanced first stages with flow-by piston.
A metal second stage like a 109 is for all practical purposes freeze almost impossible to freeze. I have tried freezing a 109 and could not freeze it. Pushed the purge button on the surface (during an ice dive) to let it free flow. I could see ice forming, but the moment I put my finger on front of the mouthpiece it stopped.
If you really want a freeze resistant regulator, try a double hose. Both the first and second stage are dry. There is no water to freeze.