My 2009 4/4 Sport has an open dif and I have been considering an LSD upgrade, but have been advised they are all noisy by comparison with the open dif.
If you have an LSD, is it noisy? If it isn't, I want one!
When I got Billy Bellinger to rebuild my axle I asked him to put a Quaife ATB diff in. It's definitely a lot quieter than the old open diff, but then that was knackered, which is why I had it rebuilt in the first place. If you fancy a LSD, I thoroughly recommend you consider an ATB instead.
https://www.quaife.co.uk/quaife-products/atb-limited-slip-differential/