If there wasn't a balance issue, then the stealth revision wouldn't have made it so hard to become hidden. An invisible halfling in a bush throwing daggers that no one seems to understand where they're coming from is a balance issue. With your reading of Fleeting Ghost, the halfling can just sit there and become hidden again after every attack, even tho he only has concealment from being in a bush.
And stop insisting that it's RAW that it lets you hide in plain sight. I see nothing in the power that lets you become hidden if you fail to meet the conditions required to let you become hidden. Next you'll tell me that Quick Fingers lets me pick pockets from 20 feet away because it lets me make a thievery check without specifying that I need something to steal nearby.
The Stealth revision addressed multiple issues. And the full intention of those were never clarified, but it seems unlikely that they were intended to not allow Rogues to use Stealth or the Stealth related powers, since the lead developer posted that rogues using stealth all the time to get combat advantage wasn't a big deal (at a time pre-update, when the benefits were greater) and that rogues and to a lesser extent rangers, were supposed to be the best at hiding and sneaking, not a wizard with an invisibility spell.
It resolved hiding behind allies, the too-high benefit for being hidden, the action required to locate a hidden enemy, everyone rolling stealth checks regardless of their class or role just on the off chance they'd make it, etc. The wording of Fleeting Ghost wasn't changed, even though this question had been raised pretty much from the time the book was released. It wasn't even a proposed update in the compendium updates that briefly showed proposed updates (including updates to Chameleon and Shadow Stride with a date of 8/31/2008 IIRC).
Rules as Written: "You can move your speed and make a Stealth check. You do not take the normal penalty on this check." No prerequisite or condition listed for making the check. Look at the revised Bluff-to-hide entry, it also doesn't specifically delineate that you don't need cover or concealment. You make a bluff check and make a stealth check, just like here you use the power and make a stealth check. Or, check Shadow Stride, which specifies that you must have cover in order to make the Steath check to remain hidden along your path. The RAW is perfectly clear, whether that was the intent, and whether the same intent exists post-errata as pre-errata only Wizards knows.
If you were going to argue this aggressively, you could have at least learned how the rest of the rules work Your halfling isn't hidden until he completes his move and succeeds on his check, and he becomes visible after he attacks. Most of the map will know exactly where he is and where his attacks came from even when he is hidden. Barring the use of other powers of course, which is a big part of what powers do, create exceptions.
Search the forums and read the other threads if you want to see how it works in detail, as well as anything else. I'm not retyping a half dozen threads worth of posts because you don't like the answer.