Which L500? Vintage? Bill & Becky? BL USA? I own one of each kind and they all sound different.
When I've compared them in person with a SH13, I've found the dimebucker more "focused", with a narrower resonant peak, giving it more clarity and a slightly nasal upper midrange. Wired in parallel, it sounded surprisingly... Fender.
Vintage L500's weren't named "XL" but they were, technically... Mine sounds
extremely powerful and gritty but relatively soft. Bill & Becky = more polite and warmer, rounder. BL USA = bright, if not harsh. The last being the "cheapest" sounding (and looking) of the bunch IMHO.
All these "Bill Lawrence L500" have still more in common than with the Dimebucker, which appeared to me as a different beast.
Of course, the experience could be different with the same pickups in other guitars than those used for my tests...
FWIW.