A God Am I: Averted, mostly. The Transcend (and its eikone archai) are perfectly aware (and will point out to the confused) that they aren’t omnipotent – that’s what the “weakly” in weakly godlike superintelligence means – merely extraordinarily powerful, intelligent, and possessed of limited prolepsis via clionomic calculation and acausal logic. And, to steal a line from Schlock Mercenary, merely trying to do what a god would do, were one in their position. (The same constraints, whether acknowledged or not, also applies to all other evolved seed AIs.)
The difference is, I grant you, often somewhat hard to spot from the baseline (for which read “mortal”, if you like) point of view, but it is nonetheless there.
(As a side note, I am amused to observe that the quotation taken from Harry Potter and the Methods of Rationality in the fan fiction section of the trope page is as good a description of what the Transcendent Core considers its purpose as I might imagine, bearing in mind my limitations in attempting to imagine the thought processes of a weakly godlike superintelligence:
“To understand everything important there is to know about the universe, apply that knowledge to become omnipotent, and use that power to rewrite reality because I have some objections to the way it works now.”)
Also, a common delusion (well, the degree of delusion is up for argument; your theology may vary on what is necessary to qualify – although the leading edge of Galactic technology can deliver most miracles to order, see No Such Thing As Wizard Jesus, and so it can often be a perfectly accurate self-assessment) among the most serious vastening cases and nascent unstable seed AIs. At least for the former, it usually wears off after the intoxication of computing power starts to become routine, the information flow becomes a little more manageable, and the urge to cry out “I see everything! I know everything! I am everything!” quiets down a bit.