I have that, and I also have one from Crank Bros https://www.crankbrothers.com/pumps_co2kit that I actually like better because even though the Lezyne one comes with a sleeve that goes around the cartridge, you still have to put a finger on the inflator to press down to engage it, and that part gets frosty as well.
But on the Crank Bros one there are handles to keep your fingers off the inflator.

for the record, on my main commuter bike I carry a lezyne pressure drive pump, and 1 co2 cartridge. But in ~3 years of commuting, I've only had 2 flats.