Jack, I'm not sure that you are quite correct historically.
Certainly publishers would pair figures with tune and call the dance by the name of the tune, but other publishers would pair things another way. And in longways (duple or triple minor) dances the set would form, the leading couple would choose which figures to dance and dance them with each couple or couples they came to, who would then dance with the next first couple - the rest of the set waited (chatted, flirted) until the leading couple came to them.
I agree that, because those who now dance C17 & C18 dances see them as linked to a particular tune, because they are reconstructed from publications which link them.