I think you might be missing the point here.
NO!!!! i wub pwning noobs... 
Then this isn't the server for you.
you could save all the trouble of modding and make a server and have admins that do it. just saying.
Admins' wouldn't be consistent enough.
That kind of server sounds quite cold. I don't want to play with players who have blood in their mouth.
This server isn't for you.
Also, I wouldn't call it cold. What I'm proposing here is a sort of 'survival mod' in which players can see how long they stay in and at the same time this provides a possible solution to excessive feeding in public games.
The server will die in seconds...
take a simple 1 on 1.
not only that. I wouldnt care personally about a server that banned me for doing bad today. There are tonns of better servers out there, with a more friendly community which will HELP you to improve rather than BAN you for being bad 
So long as there aren't enough people willing to take part in the daily competition- you're right. Even '1 v 1's, though, are acceptable reasons to get kicked out of the daily tournament. It's all in the spirit of competitiveness and isn't meant for those who are new to the game and still learning.
i guess Nux is only bored <.<
well, many of the european trem legends abandoned the game... he should maybe seek the new stars, like Cady.
Nah, I'm not bored

I just wondered if people would be interested in this idea.
I don't see the banning system work even with the new scoring ideas... Since it always breaks down to 'who is playing atm'... 2 star players 1on1 and one of them gets the banhammer even if they are the cream of elite players... I like the idea of an elitist server but this automated banning system is just harsh... 
I'll say again, if they lost the '1 v 1' I'd say that's equivalent to losing your round and should try harder next time. The scoring system can only balance it so far, I'll admit. Still, the ban duration would be for a very short time so no big loss.
More pressing matters are, for example, how do you stop people leaving to avoid the bans? Perhaps you can only join the server once per day, or already low scoring people get banned as soon as they disconnect.
This is NOT a noob-bash. I'm a forgiver and encourager of new players. As you've pointed out, this is only one server of many others to play on. It's there for those who want to compete in a more harsh setting. Those who don't have no need to worry about it.