You will be warmed alongside it, giving more power to you.The Fire will warm the Carcass, making it easier to harvest.
If you find a carcass in a Wolf's territory and wish to harvest it (assuming you are in Voyager or stalker difficulty), make sure to build a fire around where the carcass is for a list of reasons.
Wherever you encounter a wolf at has a good chance of 1-2 carcasses in the surrounding land.
