There are plenty of games where time doesn't matter.
"Help my wife is poisoned and is going to die! " you could wait 100 hours of real time and she still wouldn't be dead. Or she should already be dead if you didn't visit him the first time soon enough.
And there is a trade off as has been said. You'd get people who would have to rely on guides to metagame and such. Need their hand held for lack of a better word.