So I think your complaint is a little skewed and I'll point out why. I'll say out of all possible complaints you sight the fact that the client uses 1GB of ram as your biggest? If this is truly the problem that drives you crazy than you have low standards my friend.
So to address this I'll say that unless you are living in 2001, most modern systems should be 64bit. This means that theoretically 2^64 bytes is the maximum amount of ram your system could address. Typical modern computers can address a fraction of that typically between 8 and 64GB. There is no reason why that a computer capable of running the game client cannot address this. Having said that, if it is 64bit it means that comparatively the 32bit client will take up more memory on a 64bit system than on a 32bit system because the pointers are doubled.
This tends to not really be an issue since the memory limitation is so high as to be virtually non-existant allowing you to simply add a maximum amount of ram to the system to support any application where more memory would be required.
It becomes more sketchy when addressing the same application in 32bit since the arbitrary limitation for an application under windows is 2GB with a maximum system limitation of 4GB of ram. But remember since those pointers are the native 32bit the application will take up half the space they would normally need. You should ask yourself why in 2014 you are using a 32bit version of windows when virtually every processor on the market supports 64bit, and there is no benefit to using it. (Or the real question might be why does Microsoft continue to release a 32bit version at all?)
Basically there are a lot of issues with league of legends but its ram usage is not one of them. Yes the client has problems but are we talking about the pre-login launcher? The pre-game/post-login/chat client launcher? or the game-play client?
I would agree the processes to do one thing is overkill, and that is a problem, and if that is what you are talking about I support it, but as far as complaining about ram usage in 2014 well that's just a non-issue. You have the wrong priorities.