Well.......
Yes, it'll fit.
However, Huskys, um, run warm. Well, I should be more clear: if you winch out under load, excessive heat is generated, which some synthetics weren't really designed to cope with.
While winching in, or freespooling out the line, it should be okay. But if you have the line under load and run the line out in reverse, do so only to alleviate tension, to get a bit of slack. Otherwise, you may have a big gooey mess on your hands.
You could sleeve the line where it wraps around the drum to help, but, it won't make as much difference as controlling your winching method.
IMHO, if only for the reduction of hazards, synthetic is a good choice given the safety issues involved with steel lines. Even if it has other shortcomings. Selection of a heat-resistant line may be necessary, or better, preferable, depending on the winch (ie, like your Husky).
By all means, I say, go synthetic. But a heat-resistant line would be a prudent choice, given your winch.
FWIW....
-L