No just no. Timed quests are just annoying.
Lets toy around with the potential. Lets say the next TES game is next gen and has the resources to use things like real world weather and a Vastly improved AI syestem.
Imagine if NPC's realistically react to weather. So what if a blizzard is coming, and the whole town is aware of this. People are prepping for it gathering wood and food because theres no telling how long it will last. So lets say a Widowed woman has to tend to doing the same as the others gathering food and wood for fire. She has two children one a 7 year old girl and one is an infant. Well what if the 7 year old wonders off into the forest because she was playing with a dog and chased it into the forest.
While mom was taking care of her responsibilities she didnt notice her daughter run off.
Now we have a timed quest, the woman runs up to you desperately explaining the situation while holding her crying infant. Begging you to find her daughter before the blizzard comes. Well now you have the pressure of the blizzard coming because you dont know when it will come you just know that you need to find the kid ASAP. So you track her footprints (Hopefully we will have this Next Gen) and probably will find her. But if you dont she might die. Now I know bethesda is against children dying but this is an example of how a timed quest would play out.
Things happen in real life, we cant anticipate it but can only react.