(The context is larger games with long leaderboards in particular, but I believe would be helpful in any size game.)
Because it is not too convenient to look up and insert another player’s name when composing a message, and there are often odd spellings and capitalization, most in-game communications tend refer to other players by their color or color and shape. From my perspective, the in-game dynamic would be improved if the predominant form of reference was the player name.
Just as you can now click on a star to insert it’s name into a message, enable the player to alt-click on a star to insert the owner’s name into the message. As with star names, the inserted owner’s name would become a clickable link in the transmitted message that brings up the owner’s profile page just as if you clicked on the ‘eye’ icon for the owner on the leaderboard.