Q: DOGSO - ball out of play

[one]

Agree on th concept, but not the best example, as a so called back pass can never be DOGSO, as a GK handling the ball can never be misconduct. IFAB made this more clear in the new Laws:

“If the goalkeeper handles the ball inside their penalty area when not permitted to do so, an indirect free kick is awarded but there is no disciplinary sanction.” (Pg 105)

Agreed. Not the best example. A better example would be a second touch after a restart without an opponent present can't be a DOGSO offence.

EDIT: Although I'd argue it still can be a DOGSO offence but the keeper is except in this case from being sent of for it .