That may be splitting hairs, if the soft top frame is usually detached from the chassis, I would consider that more a Roadster. The Mercedes Pagoda had a version that came with no folding roof, just the detachable hard top, no soft-top, I would consider a roadster
The AI definition of a Roadster is as follows
A roadster is an open-top, two-seat automobile with a primary focus on sporty performance and styling. Traditionally, these vehicles are lightweight, often feature rear-wheel drive, and lack permanent weather protection, typically using a removable or foldable soft top.
The new Supersport if supplied with only a hard top, I would consider a roadster. Be interesting to hear other peoples views