Yeah, don't get confused. The Type S is very different from the SH. The Type S only came in Japan, has a real-life LSD, more aggressive cams, a higher compression and a red valve cover.
The SH came only in the states, and the only difference between it and the base Prelude is the above-mentioned ATTS, which is heavy LSD-lookalike which doesn't quite match up to a typical LSD in terms of functionality.