Hi,
I haven't read the whole datasheet, but if it's anything like the LTC4079 - the IC is only on and supplying battery and load when the battery is charging, when it's charged the IC switches off and the battery supplies the load, until the battery voltage reaches the level programmed to start charging the battery and supplying the load in the meantime, again. You'd have to read it to find that information in the extensive theory of operation section.
If it works that way, then one thing to consider is if e.g. 8A * 0R02 = 160mV is too high a voltage drop for the output needed.
There are different schematics in the datasheet, which are you referring the question to? Page 38 shows a Li-Ion charging circuit with 2.5A charging limit and 3.5A out, so "presumably" not.