I don't think millions of years is long enough for anything interesting to happen life-wise, is it?
On the other, the early universe — this particular "warm bath" era — had approximately zero oxygen with which to make water. Right temperature, just (IIRC, but I'm not certain) zero stars yet, so nothing to make things heavier than what came out of Big Bang nucleosynthesis.
i've yelled at the interns several times but none have been able to set up a haldane soup focus group yet