I updated to 2023.6.1 on my supervised installation. Now I woke up twice already to my HA not running anymore. Restarting the Raspi fixed the issues both time. If you run HA supervised, I advice you to wait with the update for some time. For me, I will take this as a lesson and go back to HAOS
Edit: changed version to 2023.6.1
Has 2023.6.2 or 2023.6.3 been better for you?
I didnt have any problems with any version anymore!