In not so long past, there was another popular expression - "computer-aided ...", which was quite fit for the practical use (like CAD for design, CAT for translation etc)
Perhaps, CAI for inference or insight would express it more fairly.
Alternatively, AI could've stood for 'automated inference', but sure it's all too late to rebrand.
We humans still not clear about nature of our own intelligence, yet already claimed being able to manufacture it.