I'd expect it to be generalised, where we (and everything else we've ever met) are specialised. Our intelligence is shaped by our biology and our environment; the limitations on our thinking are themselves concepts the best of us can barely glimpse. Some kind of intelligence that inherently transcends its substrate.

What that would look like, how it would think, the kind of mental considerations it would have, I do not know. I do suspect that declaring something that thinks like us would have "general intelligence" to be a symptom of our limited thinking.