I'm not too steady on the definitions here, but if you can capture the entire dynamic range in one exposure, would that, then, be a high dynamic range image? It wouldn't be tone mapped, but tone mapping isn't a necessity for HDRI, yes? The way I've understood it thus far, is that HDR isn't a "verb". You can't "HDR" an image. You either captured the dynamic range with one exposure or you didn't. If you didn't, then multiple exposures can be merged in the appropriate software and you can tone map the merged result. This will then only be a reproduction of the dynamic range in the original scene, that one exposure wasn't able to capture. You're no longer working with the RAW information when you merge the exposures, and everything after that point will only be a reproduction of the dynamic range, from algorithms that your software is using.
Again, correct me if I'm wrong!