maybe not /tp because it is already in the game and may confuse the game, but if a different command was added (for example /minigame tp) it might work better. Nice idea though! btw I'm not saying it should be /minigame tp just something like that.I was just suggesting about teleporting to mini games, and thank you for posting your opinions.
If that command was added (/Teleport (Name of mini game), the compass will remain in your hot bar forever, and /Teleport is just a teleportation command to help you if your mouse is stuck or if your trackpad is destroyed, then here is the right command for you (/Teleport (Name of mini game).
Thank you. :)