Yesterday it was 32* when I arrived for our club shoot. That is very cold for our area. My sense of cold may bot be relevant.
I use Ballistol and water 5:1 for the majority of my shooting. Soak the strips, wring out, let dry. The patches are not oily. This procedure shrank my groups quite a bit. I do run a damp swab between shots for bore condition consistency. I bet it would work great for cold weather in a ball block. It would not attract dirt or make a mess.