You raise an important point, T.A.M. EVERY New Yorker wanted the site cleared as quickly as possible, in part to recover remains before they disintegrated, in part to get the infrastructure (especially utilities and subways) repaired ASAP, and in part from a desire to return to normalcy.
For a long time, though, the public wasn't allowed near the site, so the visuals weren't that much of a concern to most people. But the smell from the fires in the piles was strong for months. Particularly if you worked or lived east of the site (and often elsewhere depending on the wind), there were daily reminders of what was still there. From my apartment 3 miles away I could see the site smoking into December.
It's not surprising that the preservation of the steel was something of an afterthought for the engineers. There were far more pressing issues at first: Where is it safe to search? Where can heavy equipment be placed? Are any of the surrounding buildings in danger of collapse? Will the slurry wall collapse and cause the flooding, not only of the site, but of all the subways in lower Manhattan?