Struggling with that, as the original earth appears to have been connected to the base (does that count as "manufacturers instructions"? ) & Some here suggesting there is no earth connection on the original lamp holder.But the base doesn't need earthing, the lampholder does!
Let's say for arguments sake the cable became frayed at the base of the lamp holder from the cable being moved about & the body of the lamp became live, are we still relying on the earth to the lamp-holder?
I should possibly mention here that the core of the lamp is also telescopic.