That's a massive oversimplification of things. Intentionally removing nuance doesn't help people.
Even if the difference is largely academic, the police needed a warrant to get this info from Facebook. This info was not directly government owned and directly available to law enforcement.
Proper opsec and infosec is all about controlling for the threat level of your adversary. If you have nation state level adversaries then yes, you're screwed by simple merit of doing things online where the US government has major internet relays tapped at the source. That isn't the case here and black and white statements just muddy the waters and make proper security feel impossible to the average person. Don't help the powers that be to make you and others feel helpless. That helps no one.
The threat level here was minor. They told the police where to look for evidence.
Beyond that, I'm not personally going to continue into the rabbit hole of the current hellscape post the godawful repeal of Roe v Wade. That situation is absolutely fucked.
As always, don't talk with police, and don't discuss illegal activity unencrypted or connected to your real life identity.