There is a reason the other banks do not offer more: A great deal of that money is locked up in long term, low interest assets. What do you think will happen if people try to take their money elsewhere?
There's a direct correlation between advertising spend and interest yields on deposit accounts, which is somewhat interesting. It seems like the optimal business model is to focus more on customer acquisition than customer retention, because these products are very sticky. Churn rate for deposit accounts is like 8%, which is crazy given the rate variance.