If you mean a window comparator on the input, no. They have a single input threshold and a fixed or programmable dead time, independent of the speed of the rising edge.
I am not sure how the delay is implemented in the real chips, but the way I would do it is to generate the complimentary outputs with standard logic. Then I would use an RC delay stage with a diode shunting the R. That would make a small delay for the on->off transition but a larger delay for off->on. Your window comparator idea would also work.