I googled concrete vs steel in highrise construction and there were plenty of pros and cons for each. Both posts prior hit on some, concrete being better at sound proofing, stiffer structure, and thinner floor plate, as little as 8 inches thick are a few more. Also the lead time to get the steel material can be a factor, up to 8 months.
Austin's tallest building in the late 30s was the UT tower and it has a steel beam skeleton with a limestone facade. Not sure where the steel came from, but I'm guessing not locally.