Now the interesting thing, to me, is that since this is merely an injunction against enforcing a law prohibiting carry, (to state the obvious) it ISN'T a law governing carry.
That means that aside from the federal laws pertaining to federal buildings occupied by federal workers, there's no list of prohibited places and I'd assume rather a wide open clean slate regarding all sorts of other carry laws. Since they've hand no lawful carry, they haven't written that you can't carry in a bar, or a church. As one example, probably don't (???) have a specific charge for possession of a gun while drinking, or on "posted" private property, since up until now possession of a gun AT ALL would be a felony.
One thing to be exceptionally careful about is GFSZA. That could be an absolute KILLER. As you can't possibly have a permit to carry issued by DC that qualifies you to carry within a distance of 1,000 feet from the grounds of a public, parochial or private school, you would be violating GFSZA if you do.
And you can rest assured that there are a LOT of schools in DC. And you can visualize that when you're on a random city street you're almost always within 1,000 feet of hundreds of things you don't know of or suspect are there. Like schools.
Now, I have to imagine that probably about 0.01% of DC cops have ever heard of GFSZA, and even fewer would have any better idea than you do that you happen to be standing 937' from Ms. Crabopple's second grade class held in the basement of the local Catholic Church. (And the Chief's instruction sheet did not bring up GFSCA as a useful "gotcha!")
But if they really wanted to HURT people who dared carry in the District, that would sure be a way to do it.
If you're going to carry, try your darnedest to figure out ahead of time how to avoid school grounds.