I just bought one of the mini’s and I am trying to see how much HA can do with it right now. The interaction with the Blink Mini is indeed very minimal. However, I do notice that the alarm_control_panel.alarm_disarm and alarm_control_panel.alarm_arm_away ARE actually working for the mini. So after executing the services you do see those changes in the Blink app immediately and the camera is fully functional.
So basically you would be able to control the Mini’s via HA. However, there is no feedback to HA itself, so HA doesn’t know if the system is armed or not, which is a huge drawback. Also the motion detector sensor is poorly working. So in order to know in HA itself if the system is triggered and recording seems to be difficult right now.
Las and I am not (yet) able to stream directly the video.