Tayloe detection does a divide by 4 and then sums samples 1 and 3 and samples 2 and 4 and achieves amazing low noise gain. Why can't that concept be taken further - Divide by 8, create sum A via op amp by combining samples (1,5), B =(2,6), C= (3,7), and D= (4,8) and then, via op amp combine (A,C) as I and (B,D) as Q? Wouldn't this yield amazing gain? Would this be too hard to control and prone to self-oscillation? Would the noise be louder than the signal gain?

In advance, thank you