the diver doesn't have a lot of bass
it's pretty much average compared to other BKP's in the same guitars
it's just middy
getting it closer to the strings will increase the bass response, not tame it
but it also increases the picking response
an ENGL won't do AiC, anyway
very different texture
sounds like you're having the same experience I had with the diver in a Gibson SG
it was wonderful for leads, but it was quite weak and very muffled for rhythms, unlike the 3 les pauls I had the diver
the black dog was quite muffled in my les paul, until I brought it very close to the strings