As the hikers say. Cotton kills…it retains water (sweat / rain / snow) and ends up being less insulating, making you susceptible to hypothermia and making the layer heavier. Typically the base layer is there to wick water away from your skin, and the mid layer is there to keep you warm. Any temp under 40f, is considered a no go, with cotton, if your hiking.

Looking at clothing recommendations, here, and here for runners, it seems if it’s under 30f, they tend to stay away from cotton. Note: Obviously these people are also selling expensive clothing, whats important is the fabric type, not the brand name. Even if your not at risk of hypothermia, the cold constricts your muscles, making them tighter, which apparently is not great for running.

To answer your question, as long as it’s not Kari Tra brand wools, (esp the thin ones, get holes, practically immediately, for no reason. The mid weights are better, but not by much) imo, as a hiker not a runner, i would say they should hold up for at least a season, with proper care. Especially, if your wearing something more slippery like polyester over them. Wool definitely breaks apart due to friction. Even wools Ive gotten to wear under work clothes, only last a couple years max, before they start to wear in some choice areas. If you value your wools though, I would find some polyester / synthetic base / mid layers, especially if you are running on a regular basis.

Tldr: if your running in freezing temps don’t wear cotton. If you value your wools, get a polyester / synthetic base and mid layer. Also, maybe check out REI brand for some cheaper wool layers.