Heh. One of my more negative problems with AIP over time is that - it was that way every time I played with it on - I play paused for almost the entire game, and almost kill my nerves trying to save every second, every unit of crystal, and ever single unit. Because hey, how much would I regret needing but not having them later on?
With infinite time, I just crank all other difficulty settings up to the maximum and take my time. The AI is still just as nasty, if not even worse...but without me having to plan out every metre of movement just so I don't waste any time. And since all resources can regenerate - or at least won't be used up without me doing something - it means that I can play without micro-managing to save time, which I hate, and instead focus on the things that are fun to me. AI 9.0 and plenty of minor factions take care of the difficulty.