Since SE will never add parses in game, I was thinking of a possible QoL:

When you clear a "Stone, Sky, Sea" dummy fight, you get a sort of "certificate"
Then in PF, you would have the option to only allow folks who have the certificate of completion for that fight.

This would encourage (force) people to test their skills on "Stone, Sky, Sea" and improve their DPS before heading into PF.
And you would not need to have a proper parse since it would be implied that everyone in your group has the DPS to clear.

Do you think this could work?