If they had published communications between the FBI and Twitter from, say, June 2020, I imagine their audience would not be able to muster quite as much indignation.
It would be 'cherry picking' if the result was something out of context and therefore misrepresented.
There's a legit story here, probably not to the extent made out to be but it's newsworthy.
What could be 'cherry picking' in the grand context, is that SpaceX has 'deep ties' with state apparatus, even the military, and we just don't talk about that. So by highlighting 'this thing over here' and not 'that thing over there' we lose context that Musk is in bed with the Pentagon while lambasting something happening with the FBI. And I'm not suggesting working with either is wrong, but that it's a bit hypocritical.