I would absolutely date someone unable to support me. As nice as having someone look after me would be I can support myself and don't expect anyone else to do so.

However, if they were unable to support themselves then there may be trouble.

I can support myself but it would be difficult for me to support another, although I think that if we cared enough about each other we could potentially work something out.

Of course if I were capable of supporting another I wouldn't mind- as long as there was a good reason.