Hold on. You need to be a Wood Elf or have Skulker to attempt to hide while you're only lightly obscured...No - only Skulkers and Wood Elves can hide in light obscurement. You generally need a specific rule to enable it.
But you don't need those features to remain hidden. You can, for instance, hide when you hear footsteps approaching in the shadows (dim light). When you're attempting the hide, you have full cover (because LoS isn't possible) but then they walk into the room and you're still in the shadows. They rely on sight to find you but they can't see you clearly so they use their Perception with disadvantage.
Does this make sense? Being unable to attempt to hide while only lightly obscured, but being able to remain hidden as long as they don't pass their Perception check while you're in dim light?