There is also the opening sentence, that says that "[t]he GM decides when circumstances are appropriate for hiding", as well as the bit that says "under certain circumstances, the GM might allow you to stay hidden as you approach a creature that is distracted, allowing you to gain advantage on an attack roll before you are seen." Presumably it is also possible in the world of 5e for someone who is not concealed to sneak up on someone who is distracted and looking the other way - given that this sometimes happens in the relatively mundane real world, presumably it can happen in the fantasy world of 5e.Sure, I guess if you want to completely ignore context it makes you "invisible." For those of use who understand the rest of the stealth rules in the PHB which clearly show that you are not invisible, but merely out of sight, we understand that it's not the same as the spell. From the stealth rules.
"Becoming Hidden: You can make a Stealth check against an enemy only if you have superior cover or total concealment against the enemy or if you’re outside the enemy’s line of sight."
So you can become "invisible" if you are out of sight due to cover. But hey, feel free to keep doubling down on a position that isn't supported by the rules when you put the word "invisible" in the proper context.
Which is the context of my response way upthread - a fighter who wants to be invisible, ie unseen, can try to hide - which (in 5e) is a DEX/Stealth check.
If your Stealth check is successful, ie defeats the opposed Perception check, then you are invisible to those you are hiding from ie they can't see you with normal forms of vision. That's the point of hiding - to be unseen.The stealth "invisible" also fails to meet the 4e definition of invisibility. Specifically, it fails the first bullet point. The stealth rules specifically say that you can see the hidden target with normal forms of vision by simply having a high enough perception, and by pointing out that you must "stay out of sight."
INVISIBLE
✦ You can’t be seen by normal forms of vision.
✦ You have combat advantage against any enemy that can’t see you.
✦ You don’t provoke opportunity attacks from enemies that can’t see you.
In 4e invisibility is quite frequently relational (ie you are invisible to X) - when hiding, when you hit someone with Eyebite, etc - and what that means is that the person to whom you are invisible can't see you with their normal vision.
Blindsight or Tremorsense can defeat hiding, and also the Invisibiilty spell, in the appropriate circumstances (eg someone hiding behind a wall can't be seen with Blindsight, but someone hiding in darkness can be), but (depending on adjudication) probably not Eyebite.
It's all fairly straightforward, provided the table has a good shared sense of what the different keywords connote.