The main difference is that a square will have a cascade effect in that all those dependent on the square term can be lost. So in MiniGeek's example the 37^2 lost the 19 which will eventually lose the 5 term and the 3 term (which wasn't listed but is based on the 5). Once the 19 is lost it is unlikely to get it back (1/19 every time we have a 37^2 term?)
Since the 37 would be squared every 37 iterations on average (I think), and keeping the 19 isn't very high if we do get a square, the long term stability is much lower than for a true driver. In the shorter term though, it is likely to last
