If you only want to pull 10,000 lbs, why do you want such big cable? I don't know anything about the logging side, but I can imagine you don't want to be replacing all the time, and the getting stuck tugging logs uphill?. The problem is weight.
A 3/4" cable is over 10k cap. at a 5 to 1 design factor. At only a little over a lb. per foot. Even that if you want to pull out 5,000 ft. you have 5,000 lbs.
1 1/4" is 2.89 lbs per ft. so 5,000 ft. of it is 14,500lbs. And is going to take a lot bigger drum to hold it.
6,000' of 1 1/4" is more like marine/ offshore big deck winches, there would be a few real large lattice rigs that would have drums that size, but its pretty specialized.
I'm not being critical, just curious. Because if you want to pull 10k with 1 1/4" cable at that length, you actually need to be able to pull more like 25k just for cable weight. The more you want to pull the slower it goes.