Several of those connectors have more then two cables in them. I am not aware of any such connectors being listed for use with more than two cables. Look like a violation to me.
Sure, the cable look sloppy as they exit the insulation. Yet, I like the neat arrangement of the wires in the panel, and the tags identifying each wire.
One item that concerns me - and there is no way to tell from the picture if such is the case here - is that such homes often have a spa / hot tub / jacuzzi. As I understand these things, Romex (the wiring method used here exclusively) is not allowed for such a circuit, as the ground wire must be both full size, and insulated.