The EB XR8 had an LSD as an OPTION - it definitely wasnt standard.......... Not sure about ED.
Maybe its the clutchpacks grabbing ?? Are you using LSD diff oil of "proper" spec ?? There is an additive available for LSD diffs to stop chatter, but the chatter is usually when cornering slowly eg U-turns. Is the noise there/worse when doing slow small circles ? (NOT donuts !!)
You can take your ergonomically designed, space age, computer controlled, 4 door, cup holding map lighted split double wishbone split fold down retractable cargo covered moon roof piece of transportation and keep it. For I have felt the thunder. And I know the difference!!