It sounds like the basis of their algorithm is that you can charge faster at low states of charge than at high states of charge. This is because at high states of charge Li ions are going into the carbon anode, but there are already lots of Li ions there, so Li can instead plate as a metal on the anode, which is bad.

There is nothing intrinsically harmful about CC/CV charging, but the process can be sped up by charging faster at the beginning then tapering off the charge current. New phones and electric cars already do this.