The CR does NOT come with a soft top. It was removed for weight reduction.
Being that the CR is the "Club Racer" it was a car made for Shigeru Uehara. He was the designer of the Integra Type-R, the NSX-R and the S2000. The S2000 CR was made for him as a gift by Honda when he retired it was his ideal S2000 that eliminated as much weight as possible [ i.e soft top, air conditioning(the ac is an option)] while still being a car that can be daily driven.