I'm no 'Thread Drift' zealot ..... take it where it goes !

To recap:
All the terms have fallen prey to modern marketing and are used pretty randomly in that context.
However, generally
DHC .... full height doors .... possibly 'fixed hood' like a pram
Spider ..... open sporty car .... must be two seats
Convertible/Cabriolet ..... two or four seater ....has a hardtop equivalent
Roadster ..... two seater .... sidescreens
Or maybe not

K