More likely, I'd say, is that the same sorts of horde-folk that were raiding other sovereign nations for wood wouldnt even bother sailing so far north to set up lumber camps, but if they did, I dont think that the Wildlings would make the mistake of attacking them to the point of exhaustion. Wildlings have encountered groups technologically (Westerosi) and physically (Giants) supierior to themselves, and while they do war they don't do so to the point of extinction. Ultimately a northern venture by Horde loggers would probably only involve the occasional, probably unsuccessful, raid by wildlings on a small scale, and the obvious reciprocal violence that would entail. An outpost further south might lead to more serious responses, theoretically a kind of colonial south-africa situation, but I just dont know that theres any serious will for a major colonial effort by the Horde. While even a small number of Orcs or whatever could effectively stymie many times their number in Westerosi, lack of support by the Horde proper and the difficulties of shipping might see it as just a not very profitable venture outside of the small scale.