SE and the dev's messaging indicates that parsing is definitely against TOS but they don't ask questions as long as it doesn't impact other player's gaming experience. If statics are openly demanding parses to join, then that to me is going against the spirit of "not letting it impact other player's gaming experiences." While players can make their own parties with their own requirements, that is not a great excuse given that parses are impeding player's enjoyment of FFXIV. If I were SE I would not want the player base split between parsers and non-parsers, especially since console players have trouble parsing, accessing and managing their logs, etc.

If these groups keep their identities anonymous, whatever. But if they're advertising in-game, I would definitely report them. You can parse for yourself, imposing parsing on anyone else is against the TOS. If I was required to do something illegal to join your group, the problem isn't me, it's your group's requirements.