It’s a terrible user experience trying to reply to a post that addresses me personally, and being told after writing the message that I can’t post it for another 11 hours.

Same thing here (it's 16 hours)...

I can't even (privately) message moderators to report or ask something.

Question: Is there a limit after the 1st day? If so, which?

_{(Sorry for starting new topic -- there was no other way to give myself some final sentences for today.)}

I suspect that the solution to this is to read a little more:

What do user trust levels do?

It explicitly states that Basic users:

have all new user restrictions removed

No, there are additional restrictions that apply for the first 24 hours after registration.

It explicitly states that Basic users: “have all new user restrictions removed”

That does not really fit the fact that I got the “basic user” badge before I hit that daily cap.

And my point stands that this is a terrible user experience for new users. After keeping my browser open for 11 hours yesterday just to send the posts I had already written, my desire to continue enganging was literally at zero.

I understand that Discourse wants to avoid misuse from new users, but I think assuming good faith is a lot more healthy for a community that wants to grow.

[....] this is a terrible user experience for new users.

My thoughts exactly.

After keeping my browser open for 11 hours yesterday just to send the posts I had already written, my desire to continue enganging was literally at zero.

Same feeling overcame me last night.

Sorry about that @pdfkungfoo and @poke! I'll increase it to 40 for now.