It turns out the transition to fractional amounts, which is required for reducing the minimum fee, will not be that simple. It would require adding a new transaction type, because the current ordinary payment transaction stores amounts and fees with 1 NXT precision, not multiplied by 100 as in the account balance. So it will take longer to implement and test. The positive side is that while doing that we can make the fractional part allow amounts much lower than 0.01, so we will achieve much higher divisibility.
We don't really need too much divisibility. Perhaps 1.00000 at max?