It could actually be the callibration of the transfer case causing it. It was a fault picked up by LR and listed on Topix for the L405 and I think someone also had the problem on a D4. It is usually solved by changing the transfer case oil and then recallibrating the transfer case. The dealer would need to do it but it might be hard for them to diagnose.
The transfer case tends to grab a bit (sort of locked up for a short time), which means that when relative movement is required between front and rear while turning a corner, for instance, it needs to inlock and does this a bit violently since it has wrongly locked, so there is a clunk usually from the rear diff due to the sudden shock. I thought my L405 had stripped rear diff teeth when I got it second hand, but it was just the transfer case issue and the above treatment fixed it. If they can diagnose it properly it will be a warranty fix. With mine it happened worst when accelerating around a slow speed right hand 90 degree corner (such as coming out of a drive way or at a T junction).
You can also try driving in sand on a beach for few minutes. If there are a few clunks from the rear when you drive back onto the bitumen until the transfer case properly unlocks, it will be the transfer case issue for sure. That was the other symptom with mine.
Just something else to look at if diff issues are ruled out and if you can convince the dealer to check for that. The cure is on Topix for them to follow if it is the TC calibration.
Bob
2010 D4 3.0TDV6 SE, ediff, LLAMS, 5 x GOE wheels, LT285/60R18 BFG K02's, GOE Compressor Guard, LR Tank, Mitch Hitch, ECB Bull Bar, Kaymar Rear Bar, Traxide, Safari Snorkel.
2019 Discovery 5 SD6 SE, 20 inch wheels, 275/55R20 Nitto Grappler G2 tyres
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