I personally like to carry things like Emergen-C in the winter just to keep my immune system all up and running. This would probably add too much extra weight on longer trips but for weekends to a week or so, maybe this would keep the weight down.
The electrolytes and other stuff in something like Emergen-C or Gatoraide should lower it's freezing point… by how much? Again, untested. We don't get that deep cold here in the deep south. Below freezing, yeah, but below enough to make our carried water freezing an issue, not often really, especially in South Georgia.
And it's hard to test except when actually out in the field, as water sloshing around on a pack pocket will freeze slower than water sitting in my freezer.
But the packets are light and for shorter trips it might be worth it (if it even works, I'll put some Emergen-C in the freezer tonight). Plus, immune system boosts in that cold weather can't hurt!
Again, probably dumb, but just a thought.