pays to check where crimp lugs attach to cable as well as where the lug contacts the body ( usually large deposits of green sulphate is a good warning sign of future problems)
the problem with led units that are fitted in original lamp holder that rely on the bayonets for connection is that the current drawn is so small that when the contact point oxidise and the led then is unable to draw current through the oxidised...
TV's Mythbusters proved it is possible to polish a turd, but a turd is still a turd even if there is a shine on the outside.
Checking and sorting any issues with chassis, bulkhead and running gear is what should come first.
any images of the battery connections main earth cable and the starter motor and alternator connections .have you checked the output voltage on the alternator main connection and then on the starter motor main connection and then the battery
on the rebuild was a discovery harness used for the engine connections utilizing the bulkhead plug etc and spliced into the original body harness or the whole vehicle TD5 harness used
before condemning the battery and alternator as steve2286 said DVM. you could have loose or broken wire's to the alternator loose or badly corrode battery connector's ,badly corroded earth connection so look for corrosion on the cable crimps...
If you are interested, I can go and measure the dimensions (although mine is a 2001 FL1 Td4, not a facelift so maybe the centre console etc is not the same, so dimensions you would need wouldn’t be exactly same?) Not rocket science tho.