The ten year warranty is Anti Perforation warranty and doesn't cover surface rust. Been there, tried that and got sent away. The rust has to have rotted through basically, but has to have come from the inside out as surface rust that has gone the other way is classed as poor maintenance.
The roof on the 8th gen Civics has been recognised as being caused by a design fault on the windscreen rubber, and so the normal three year warranty has been extended by another three years.
I'm not saying you won't get it approved, stranger things have happened, but in all likelihood if you catch them on a good day and get on well with the service department at the local dealers then they'll ask you to pay the labour time on it and they'll pay materials.