So I picked up the game yesterday, and the first crash happened while I was playing in a full group. A hard reset (holding down PS4 power button until reboot) was needed. Today, it happened again while playing in a full group. Another hard reset was needed.
I'm playing on the PS4 Slim with the latest firmware, I rebuild my database yesterday, and am connected to the internet with a cable.
Hopefully, this can be resolved soon, because it's truly annoying.
Support ticket number: 08529381