I would need to go back to remember exactly, but were those Triune cultists or Lilith's cultists? Triune cultists originally worship the Three Prime Evils. Actually, the original form of the Triune cult worshipped the Primes without knowing they were evil.
I believe at some point Lilith co-opted the remaining Triune cultists into her order, they would probably still hold reverence to the original Primes in addition to her. I don't think the average cultist would have been aware of the rivalry between her and her father. If anything, they'd probably see her as being the Daughter of Hatred a kind of blessing.