Yeah. The storm surge related to a hurricane is nothing like that. As a hurricane moves across the ocean, its winds and pressure effects act to build up an area of sea water that is higher than mean sea level. It’s basically a hill in the ocean that moves at roughly the same speed as the hurricane, AFAIK. As the hurricane approaches land, it carries this hill along with it onto land. Hurricanes move fairly slowly, and the buildup of the water along the coast is (relatively) gradual, so it’s nothing that you would have to run from, and certainly nothing like in that story.
BTW, last year when (then-)TS Frances blew through here, she brought a storm surge with her. You can see the results here, in this gallery. You can see from the photographs that this was gradual, because the rising sea did not damage the trees and bushes. The only damage to the buildings was from the flooding, not any sort of violent wave activity. What happened here is that the storm pushed the water from Tampa Bay up into the Hillsborough River, which flows through downtown Tampa before emptying into the bay itself. The water level in the bay was higher than that of the river, so the river was basically dammed by the storm surge and rose over its banks, adding even more water to the 4 - 8 ft surge which Frances was bringing ashore. In addition, you can see in some of the pictures that there are waves washing over the bridges – that’s because the wave activity on top of this hill of water stays basically the same as it does on a normal sea. The waves are just forming higher than usual.
The night before was really something. Thanks to the winds and the shape of the bay in certain areas, you could see the seafloor for about 100 yards out along Bayshore Blvd, which is built along a sea wall. Ordinarily, there’s really no beach there at all, much less one 300 ft wide. But again, that was a gradual recess of the waters and a gradual return overnight and into the next day.
Oh, and from my understanding of tidal bores, it’s not really anything like that either, at least around here. All the pictures of tidal bores I could find showed a little water wall moving up a river. It’s not even like a wall at all. It’s more like a tide that just keeps coming in.