Boy, I wish I had an answer, but I'm not 100% sure. I'm having my own issues with my car deck (Kenwood) and the phone and I haven't even looked into messaging support (though I have a Pebble watch, so that's less important.) Still, with no connection to BT my phone will offer to read the message itself with the Assist app Drive mode, but not while connected to the stereo.
Did you first pair before the OTA update last month? If so, maybe there was a change in the OTA.
It does seem that there is nothing universal about this, and every car system seems to have different levels of usability with the Maxx, from what I've read.
I suppose you could see if there is a firmware update for the CR-V's BT system. Or call them and see if they know anything about it - pretty remote, but worth a try, I guess.