There was such a rule in a past iirc.
There are few problems imo:
1) How do you decide who is noob and who is not? By PSR? Definitely not. By stats? Maybe, I have 6/6/10 and 85/13/13, am I noob or good or pro player? I played higher level games and they called me a noob (same as i noob game
)
2) How do you leave noob game lvl? In order to get used to higher lvl games you need to play them, you won't be best player from first game. With such a rule it would be impossible.
3) You can kick anybody from your game, based on stats, PSR or even nationality. Or w/o any real reason.
Also anyone can have bad game or day, do they really deserve ban for it?