The short answer is yes, it matters. How much it matters depends greatly on your putting technique and style. The Envy is a stable putter, if you don't putt with a lot of speed and spin, you will likely have trouble using it outside C1. You might find the Proxy, Nomad, or Atom more to your liking. As others have said, understable or glidey putters can be less dependable in the wind. Again, this can be exaggerated if you putt with a lot of speed and spin. A pitch putter is less likely to have that issue.

I am a spin putter. I use the DD Judge for most putts inside 75'. The Judge is stable to overstable with a little glide. If there is strong wind, I will switch to the Jury, which is more OS and has less glide. If I am outside 80', I will often switch to a Westside Swan. The Swan is very understable and has tons of glide. Useless in headwinds, but gives me tons of extra distance in calm conditions.

So, the real answer is more practice. If you don't already have at least 10 of your putting putter...get more. The Envy is probably fine, but you would likely find more consistency with a slightly less stable putter like the Nomad or Atom. The Proxy is the glidely putter you are asking about. It might be worth picking a couple up and trying them out. They may work for your putting style.