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In New Orleans, where being below sea level and inland from the Gulf of Mexico provides a lot of protection, this would be overkill, because the big danger was and is flooding from broken or overtopped levees, not direct storm surge. A building that can withstand high winds isn't the real challenge: it's the massive force of MOVING water that is the killer. The biggest problem with flooding (other than surviving it) is the major mold and mildew problem that will persist for months or years afterward if the materials are at all water absorbent.
And on the coast, directly exposed to the full force of combined storm surge and waves, it wouldn't be nearly enough, unless it really were just a small storm shelter within a larger building, and even then there are never guarantees. Storm surge combined with large waves can shatter even a heavy concrete foundation if it is undercut, and the undercut is why the pilings are there. So you would need a lot more pilings than just the four corners, unless it were a small (e.g. one room) shelter.
The "hurricane proof house" near Pensacola is an effort to design just such a home, but it is far from "hurricane proof". "Hurricane resistant" is a much better description. See
Keep in mind that the stairs and the concrete slab that were designed to break away become battering rams when they wash up against someone else's "hurricane proof" home.
- Bob