Pilots and controllers are also intimately aware that every word and intonation will be scrutinized in the wake of an accident. They’re generally very well trained, but that’s an added motivation.
Listen to some guard frequencies with aviators displaying such a lack of professionalism it may make you question how we’re allowed to fly.
What you’re hearing is hundreds or thousands of hours of flight time; many of which are spent practicing forced landings, and the radio language that becomes second nature.
VHF requires you to be incredibly clear when speaking, a single shared frequency enforces short messages that are to the point.
I can pretty much guarantee neither of the flight crew thought about any potential inquiry until after they had made a safe landing; as that would’ve been their only focus.