I never heard about that kind of "Super Lightning" modification (but I guess that Hood would know better). There was a genuine project for a Lightning follow-on, namely "VG Lightning" where VG stood for variable geometry.
At least one of the projected configurations also supposed to have side intakes, but not under the wings, only on the side of nose, roughly below the cockpit.
Otherwise all other Lightning-based projects I know of were to keep the nose intake.