That's a really good errata in my opinion. They only clarified what they ment by the initial text, but didn't state explicitly.Actually, this is no longer true. The errata and newer versions of the PHB and basic rules specifically address this.
The new text reads (emphasis added):
The DM decides when circumstances are appropriate for hiding. When you try to hide, make a Dexterity (Stealth) check. Until you are discovered or you stop hiding, that check’s total is contested by the Wisdom (Perception) check of any creature that actively searches for signs of your presence.
You can’t hide from a creature that can see you clearly, and you give away your position if you make noise, such as shouting a warning or knocking over a vase. An invisible creature can’t be seen, so it can always try to hide. Signs of its passage might still be noticed, however, and it still has to stay quiet.
Personally, I am treating the last seen location as a unhideable location. This makes the PC's in my game usually move around a little and makes a whole lot more logical sense. The Rogue gets sneak attack just about always anyway due to attacking monsters with an ally adjacent, so it's not a huge nerf, and it works both ways. If the players asks if there is stuff like bushes, chairs, tables, rocks etc which they can use to hide behind, I am usually ok with there being some. The exception being places made ready for war, like a castle in war-mode, where all brush would have been cleared away etc.