Another big factor in what size gen can do what is that the charger's load on the gen relates to the charger's output, which in turn depends on the battery's voltage at the time, rising with SOC.
Peak load on the gen is just before amps taper as you reach set Vabs (minus voltage drop at the battery)
With the Li here showing 14.2 battery at 98 amps that is 1391w output. If the Magnum is the typical 85% efficient, input would be 1637w, and with PF correction to 99 that would be 1654 in VA supply.
My non-PF corrected 75 amper pulls 1700 VA from the gen, so with the Li's lower voltage and PF correction, you get another 23 amps charging for the same gen VA supply.
Compare that with a non-PF corrected 60 amper set to 14.8 on lead-acid batts when at end of Bulk battery might be 14.5v with voltage drop. Output is 14.5 x 60 = 870w. 85% efficient, so input is 1024w. BUT the charger has a PF of 0.7, so VA needed from gen is 1462. So that 1600VA from the "2000" is where it's at for a 60 amper.
I am not happy to use the battery voltage after voltage drop instead of the converter's voltage, which is higher, when calculating output watts, but that is the way it seems to work according to past discussions and results on this topic. Using converter voltage makes the gen VA requirement higher. IMO the converter is the load the gen sees, but what do I know? :(