The jet (nozzle) would have to be changed for things to be efficient. Getting a set of jets wouldn't be that big of a deal.
From my blog:
The Omnifuel comes with jets with three different sized apertures, one jet for each of the three general classes of fuel: gas (0.45mm), gasoline (0.37mm), and kerosene (0.28mm). Each jet aperture size is optimized to burn efficiently the fuel for which it is intended. The lighter the fuel, the larger the aperture size. The heavier the fuel, the smaller the aperture. While it is best to run the stove with the correct jet for a given fuel, my experience is that the stove will work reasonably well with mid-sized aperture jet on both gas and gasoline. I have not, as of this writing, tried all possible combinations of jets and fuels.
In other words, you'd just buy jets intended for a Primus Omnifuel and use those with your burner. You'd need an Omnifuel pump, and you'd need a fuel bottle from one of the following brands: MSR, Primus, Sigg, Optimus, or Snow Peak. You'd want to check that the threads on the Omnifuel jets will screw into your burner, but I'm pretty sure they're going to be compatible. Even if they weren't compatible, there are ways to modify gas jets if needed.
The jets shouldn't be too expensive, but a pump, well, those aren't cheap. But if you ever did some serious winter travel, you have the option of going multifuel. Pretty cool.
HJ