Pro randomers = The server fills up quicker, and games are sometimes more enjoyable with more people. With more people it also means that the server can stay populated longer with people coming in and leaving at any pace.
Cons = Randoms are sometimes, well, shit at playing and can ruin the chances of one team's success. As TheDr quite rightly pointed out, there's no point having a specialised TF2 day for FS and it's regulars, if the server isn't dedicated to just our playing. If the server fills up on randoms, FS players can not get in.
What I propose, and what I see other servers employ, is reserved slots. If the server fills up full of randoms, one will be kicked for an FS player to join. If enough FS players join then we have the server all to ourselves, if not, the spare spaces are filled with randomers who are kicked any time a regular to TF2 tuesdays wants to play. It doesn't solve all problems, but it helps to keep the TF2 tuesday dedicated to us if we want to play, as well as allowing anyone else who wants to get involved a chance to play too. It helps us to feel all exclusive too.
Edited by Duo Maxwell, 30 June 2010 - 09:30.