I don't understand how texting chat isn't available in the tower. Leave it out of PVP, Raids, Strikes, Explore and everything else. BUT PUT IT IN THE TOWER! After all it's the "Social Hub". Not every button on the remote is utilized in the tower. So just make a button like Circle, or R2, or whatever to bring up a typing window. I can't imagine this being hard to add to the game. Have a chat window, and also "bubbles" over your characters head when you speak. This would make the tower a real social hub.
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I say add a room for those in the tower who want to voice chat. And one for those who want to text chat. Just one area where voice chat is enabled. So I can find people to befriend and form fire teams clans etc etc.