Alembics don't use Barts from the factory, but every now and then you find a bass that has had the pickups swapped out. Barts are fine pickups, but they aren't Alembics. They are made according to a different philosophy, which includes being used passively or with more standard electronics. Alembic pickups are lower impedance and require the proper electronics.
From my perspective, I think the Alembics with neck through construction and the sustain block provide what is considered the classic Alembic tone (although that can vary greatly just from putting the instrument in different hands. While Stanley and Mark King can sound similar, they sound way different from Danny Bowens, Jim Cammach, or Phil Lesh, all Alembic players that have influenced me.). Series basses certainly take it to the next level.
Spoilers sound great, to get back to the OP, but so do Distillates, if you are looking used. I do wonder what the bass is in the Youtube clip. My laptop speakers don't tell me much about the tone, it sounds very Fenderish through them.
Edwin
PS Slammin', you might look in the control cavity and see if there are any trimpots that could even out the pickup balance. I'm not familiar with Persuader electronics, but it's possible. The other way to adjust it is to play with pickup height. It does change the tone, but you might like it.