bq24192 Input Current Limit

I am in need of some clarification. The datasheet for the bq2419x states it has the capability to charge at 4.5A. More specifically, on page 18 under the Charge Current Control Register table it says "Range: 512-4544mA". However, the Input Current Limit only goes to 3A.

It would appear as though the ICL limits the current drawn from whatever power source is plugged in. I understand how that is good for USB sources, but it shouldn't limit itself from drawing the full 4.5A to charge the battery (plus whatever the system load requires) if a DC source capable of providing such current is plugged in.

Does the ICL only apply to USB sources? It doesn't seem you can bypass that check. If it applies to all sources, why is a 4.5A charge current advertised? It's quite possible I am misunderstanding the way the ICL works.

I am planning on using a ~10Ah battery pack and it would be nice to use this setup to fast-charge it at nearly 0.5C (which would only be possible if the full 4.5A was available to charge the pack).