Anything I publish on any social network I'd be also comfortable seeing posted on every wall in foot-tall letters, with my real name attached to it. Were I not be comfortable with that, I won't post it.
I consider all "private" or "limited" posting provisions on all social networks as paper walls at best, one small devops or SWE mistake from being torn and becoming visible to public. Maybe I'm overshooting a bit, but my past experience shows that it's not much of an exaggeration. So I never use any "private" features and post everything I ever post as openly as possible.
Social media is a colander. Expect anything and everything to leak. Embrace being public.
If you want something with more real privacy, as in not likely to leak if all parties involved take reasonable care, use something that was built with privacy in mind, like, IDK, Signal, or maybe a private Telegram chat, or a private Mastodon instance only accessible through a VPN which you personally and competently operate. Of course it's unlikely to hide you from state-level actors, but at least it's more likely to protect you from simple operator blunders.