That may well be your opinion on the matter and it may at times be true. But I also feel you are being impatient, and probably don't have too much on your plate as far as day to day activities, doing things after work, etc. I don't mean that as an insult, merely an observation based on what I am reading.

And just because something is slower paced for you doesn't mean that it feels that way for everyone. personally I find 4 days is the most reasonable window of time to grant that ends up suiting most people. Which, in the end is the purpose of establishing a schedule. It needs to work for the most people. not just the ones who want to get going the quickest. 

I agree a strict initiative order would be a bad thing, And I am more than willing to give the GM's idea a go and I think it would work. But you need to give other people time.