I would prefer to spend a bit more on a winch and get one that is rated for at least 1 1/2 times the weight of the vehicle, 2 times is better.
Sunk in up to your axles is not the time to wish you had a better and bigger winch. Especially if you travel often solo.
The LR is much heavier than most vehicles I have owned. The Mog I had sported a 15K winch, but then it was not easy to bog a Mog so I never used it.
So go cheap if you want but don't cry if it does not do the job.
Still, no matter what you have if there is no place to tie off to it won't matter.
