It was a big news day that day, but I never felt like it was the first moon landing, which was kind of how it played in the episode.
I kind of wish I'd watched that one, because from where I work, it was very similar to the moon landing in terms of how the on-camera talent was expected to cover it.
(The difference being that with the moon landing they had a set of timed events to report which were known in advance, and so interviews to fill gaps were scheduled. With bin Laden, nobody knew when Obama was going to finally speak so they just vamped for two hours.)
[edit: The big difference from a viewer perspective is that, again, the moon landing was a scheduled event so everyone knew in advance to turn on the TV. Whereas if you weren't already watching CSI or checking Twitter, it was pretty easy to miss Obama's speech. But as far as the network news was concerned, it was a Really Big Deal And Everyone Was Watching.]