Turns out I probably (to be safest) should use the same OP group for Advisor as for BD.
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Many apologies were made and thankfully our group had a click-cleric alt at the ZL for damage control.
I stuck around and got a bub of buffer XP into 41, but it's probably best if I return to CoM and XP up a few levels before trying again, at least to where I can pull advisor relatively safely.
It's annoying that BD de-pops after 30 minutes or so, though... He was there when I got rezed back into zone, but gone a few minutes later.