I had enough Influence to research a lot of my cabals techtree, which should result in better offers by the Rogue Trader to my cabal's members.
And indeed she had several new things on offer: a purple blueprint, two Item Collections (Signum, Purity Seal) priced at 24000 credits each, and two Great Item Collections (Signum, Purity Seal) priced at 64000 credits each.
I bought one Item Collection, opened it, and got nothing. At 24000 credits this was a quite expensive nothing! :-(