Why do people want Helgen rebuilt.
I dont see why it should be.
It should stay as a ruin for 4 reasons-
1) Alduin destroyed it.
2) Ulfric Stormcloak and Dovahkiin would have been executed if Alduin never attacked.
3) The civil war would have basically finnished if Ulfric was executed.
4) It should be left as a memory of the above reasons.
I dont think that points have really something to do with the reconstruction of place after its destruction, no matter the cause.
In this case, the only real reason that came to my mind is that people in Skyrim are so worried (ever if in game they dont really demonstrate it) about the dragon attacks and the scourge of the civil war, that the resources and time to rebuild it are just not available.
Considering the city is in a crossroad that goes from Witherun - Falkreath to the Rift, it seems to me as an important node. I see more reasons for the people in Skyrim to want tit secure and at least occupied by guards than left in ruins as home of bandits, make the passage trough the zone very dangerous.