Such an idea would not hurt, suffice to say. Considering there are some characters I use that are, for a lack of better terms, "restricted" from popular appearance in the Tavern and its partnered rooms (Garden and Clearing). Alignment is one way to portray an interesting character, of course, and enjoy roleplaying their particular views through interaction(or in blutness let us simply say "fighting" if that suits some better

) of other characters from the opposite side of the spectrum. However, why not add a little color to the fray if unusual humanoids or outsiders were portrayed in the other realms as well.
For example, the Great Bazaar, being in Sigil, boasts the claim that this little plane of doorways to other realms serves as a crossroads to planes both known and unfamiliar, yet it seems we really have not taken the opportunity to do so (i.e. rping with creatures or characters from said unfamilair plane).
The Rotunda in Waterdeep, hosting both the "rumors" of being relativley near Underdark access as well as being a trade capital for Faerun campaigns under its belt, rarely has more than the common Calimshan or the less common Drow in hiding, when beings from far deeper dwellings or more outrageous regions could occupy the tables.
And where are the mutants in TMP? After the whole incidant with the brain eater, the place has been a bit empty, save for once every few nights (perhaps I need to rp more often if such is no longer the case).
And as for the Cage, I know not enough of it to say anything concerning its use, though unusual characters have frequented it once or twice since I last looked into it.
Forgive me if any of this sounded arrogant and long-winded...its amazing what those who are ill can do in times of boredom. But I suppose my vague and taken-far-off-the-subject point was that we should also get some play out of these neglected chatrooms too with said characters.