This is wrong as a matter of historical fact. In 4e D&D, as per its updated Stealth rules (which are reproduced in the PHB2), a successful check to hide renders a character invisible (and silent).
There are also multiple rogue powers that have the "martial" keyword and that make the character invisible (eg Hide in Plain Sight, Hide from the Light).
It's obvious that "invisible" in these powers does not refer to One Ring-style magical transparency. It means that, due to the rogue's (perhaps preternatural) skill, they are unable to be spotted/noticed by those looking for them.