That's good news in a way. I think the vibration is linked to the prop/VCU. I think the fluttering is from the vibration and may not always occurr.
This sort of fault isn't easy to detect. There's nothing in the ird or rear diff that would cause the noise unless someone has cut bits oft int side with an angle grinder. So they're rulled out.
That leaves the props and VCU. A similar fault has occurred before on a low number of FL's where simply loosening the rear differential to prop bolts slightly, then wiggleing the connection then bolt up again, has removed a vibration. There being a very fine oftset in the connection which causes vibrations at certain speeds or engine revs. Also removing the bolts and turning a raised rear wheel so the diff connection plate turns 180 degrees untill the bolt holes align again to the rear prop plate, then fitting bolts/tightening, has solved the problem.
It's as if a number of precise events triggers the problem vibration at certain engine revs. There will always be some vibration/harmonics but when your problem happens it's high enough to be felt.
I assume the damper on the VCU was fitted behind the vcu, on the side closer to the rear diff, if it has one fitted. Yer can run without the damper. It's there to dampen vibrations coming up the rear prop from the rear diff end of the mechanicals. LR must have detected something in order to want to fit it. The smoother running V6 models didn't need it but some of the other FL's did. Just make sure if yer have a damper it's at the rear of the VCU when the VCU is fitted.
The props are balanced separately. They shouldn't be bent unless yer given them a good whack oft road. It's hard to do but i have tried when oft road.
The 2 Half's of the vcu link together but turn separately. If the VCU hasn't been reconditioned then it will be as per factory build spec physically and spin without vibration, as there won't be any rework weld or oft centre cutting making it slightly oft wotsit when spinning on it's own, causing the vibration.
If the fluid in the VCU were to settle at the botton over time then it easily mixes around the vcu again when driving the car when the props turn at differing speeds. A VCU sat for 18 months just needs one full 360 degree rotation to overcome this to give repeatable One Wheel Up Tests of the same time for specific weight. If the fluid is too old to mix around yer get one hell of a vibration way above what your getting if it settles a bit and dun't mix around well when props turn at differing speeds. Vibration is present from low speeds and gets much worse as speed increases.
If it were mine i would visually:
Check the props look ok.
Check the universal joints on the props look ok and move ok.
Check the vcu looks ok and the damper if fitted isn't loose. Check it looks central to the shaft going through the VCU.
Put it all back on the FL.
It wouldn't surprise me if the problem vibration then disappeared. Reason being the connection would be slightly different in alignment. Prop plate to diff plate that is. Same for prop to ird connection. Try it and see how yer get on. Some will laugh but it has solved the strangest of vibrations int past on other hippo's.
If that dun't solve it I would disconnect the prop from the VCU spine, turn the prop say 45 degrees, then put them both together again. Again this shouldn't make a difference but if the prop or VCU is very very slightly out of balance on it's own (it's own weight central to the centre line through itself), then it sometimes solves a vibration such as yer have. Mad i know and it shouldn't happen but our hippo's are special and int past on ere it has solved the strangest of vibrations.