With Tigurius the Conclave effectively makes about 10 rolls on Telepathy, so they have a near guarantee at Invisibility. I've seen some players take Sanctic powers for Gate of Infinity too, to counter-balance mobility issues (even if the doubles risk).
The problem there is that they can't re-roll powers they already have, and they don't get multiple instances of Psychic Focus. You can
roll 7/9 times on Telepathy, but then you haven't got Gate or Perfect Timing, at least one of which is vital
to the Deathstar (without Gate, you sit there and they avoid you because believe me after playing with it, 6" per turn on that many points will absolutely lose you the game through sitting around being out of 24" range; without Perfect Timing, your damage output drops to no way near what 600pts+ of dudes should be doing). You also get, at best, the Telepathy powers to use, and with Dominate and Hallucinations both being stinky garbage and a single instance of Psychic Shriek being very unreliable, that's not really impressive at all.
(barring the frustrating ITC FAQ ruling that lets you Gate out of close combat)
Er, that's not an ITC specific, that's in the core rules. I guess it might also be in the ITC FAQ, but it's pretty clear cut in the rulebook.
I've been thinking about putting Cypher in my Centurions to give them Shrouded and Hit and Run, which would solve some issues, but I'm not totally sure on it yet (yes, technically you can't Infiltrate FAQ blah blah but I've never seen that played by the FAQ ruling outside of a tournament).