I dare say there's some rods that would do it!
Paul - i don't know what the technical terms are but what you are really trying to achieve is matching the strength/spring power (again don't know official term) to the weight of the line. If you use too heavy a line it will not have the strength/spring power (

) to straighten the rod tip at desired speed and casting your loop nicely. A heavier line than the rating will in effect make the rod bend more and straighten more slowly, obviously this effect increases the heavier you make your line. The rod acts as a spring when you stop it at the end of the cast, the heavier weight you pull on the spring the slower you will make it.
By all means try your 7 on the lighter rod but be careful casting it, i'm sure you could probably damage a rod with brutal casting when it's way overloaded.
Hope that helps
I'm sure someone with real knowledge like David Norwich will come along and be able to explain it properly!