It's the "object to it on the spot" piece I don't think is that straight forward, I wouldn't want to see someone initiating a point-scoring argument in the middle of a group meeting,
I don't think so, I mean you pointed it out yourself:
The point is personally I would politely correct them on their error and move on with the meeting, reflect on the situation afterwards and then have a rational conversation afterwards involving only the relevant people.
That kind of assumes you're sure you're in the right at the time but it doesn't even have to include that, just a quick "let's talk about this after" is sufficient.
Irrespective of who actually made the mistake you can still object to the way they spoke after the meeting, if that is something that has annoyed the OP then letting the person know is reasonable.
"Ah, looks like I did get my schedule wrong, there was no need for the way you spoke to me in that meeting though"
or
"You didn't actually send me the other invite and the way you just spoke about it in the meeting was rather off too, didn't appreciate that at all. Do you want to send me the details now please?"