That's good for Bonzo's drums but the necks on the Gibson 1275 look too thick, Jimmy had his specially made so it's possible the necks are shaved down like with his #1 and #3. The single guitar they show has the Gibson finish but the Danelectro body. Except for the Black Beauty someone stole and the psychedelic Fender someone messed up Jimmy's used the same guitars forever, each has it's own unique sound. In the 90s he used an off white auto tune with a single cut out.
This is his #1 or #3 Les Paul, they look very similar but he would know the difference, #3 has a switch under the pick guard.
His 1275 which was custom made, the necks are solid and there's a few other differences from the factory ones
The Danelectro with the DADGAD tuning for Kashmir