Lightspeed seems to be a catch-all layterm that means the speed of light and everything faster. Hyperspace is a better description of what’s happening. And different ships traverse hyperspace at different speeds depending on their engine.
In Star Trek or sci-fi in general?
Light speed is the theoretical maximum speed limit at which an object with mass can move within normal space. Hyperspace was a sci-fi invention that was used as a theoretical work around for this problem. So any space that allows you to travel faster than the speed of light is technically hyperspace, whether that be extra dimensional travel, or going through a wormhole.
In Star Trek or sci-fi in general?
Light speed is the theoretical maximum speed limit at which an object with mass can move within normal space. Hyperspace was a sci-fi invention that was used as a theoretical work around for this problem. So any space that allows you to travel faster than the speed of light is technically hyperspace, whether that be extra dimensional travel, or going through a wormhole.
In Star Wars. Sorry for not saying so explicitly.