The metal itself is an alloy; it's not added. Alloying elements are added to create an alloy--that simply being a combination of 2 or more metallic elements. In the case of steel, most medium carbon spring steels principally have silicon and manganese added to them, together totaling more than the 1% threshold that's usually used as defining "alloy steel".
While it's speculation, true, we know that they are making use of recycled steel, and are probably combining different medium carbon steels, so there may also be other trace amounts of miscellaneous common alloying elements like chromium or nickel, but probably not so much as to have a significant impact on the final product in terms of this application. Chromium is often lost to some degree to slag formation during re-melt along with some carbon and silicon, while nickel and manganese mostly remain in the the steel, so of those alloying elements present we can make some informed guesses about what the end result is like. However, this is something that a big recycling company like Ovako is able to monitor and grade for. It's very unlikely that the end result used by Gransfors is significantly different from other steels used commonly for axes, chiefly because there's not much need for it to be, even if we disregard what circumstantial info we've received from Gransfors themselves and former employees.