At the firms I worked for, all composite constructon was unshored. I'm sure others do differently at times, but I think unshored is more common.
LOL, there was only one shored job in the offices I worked for. Some un-named engineer accidentally turned on the "Shored" option in RamSteel and the entire job got designed as shored, but constructed as unshored. The error got by the designer, his supervisor who stamped it, the detailer, the shop drawing checker, the fabricator, and the erector. Didn't get by gravity, though. Those 34' long W12x14 didn't stand a chance when they dumped the concrete on there! Pretty large building and it was all in teh air before they discovered the error.