The supposed power rating of the factory KLE is 2 units of 3.6KW, each for a total of 7.2KW. If these KLE units were operating at full capacity, you would be drawing 30.0 amps at 240 volts, or 32.73 amps at 220 volts. My i3 draws about 22amps at 240 volts with the Level 2 charge set to "max", and I'm sure that I have the downrated software. You can draw your own conclusions about your situation, with this data.
The KLE only has one 16amp inverter, not two as you say. The other 16amp inverter is actually in the EME (Electrical Machine Electronics). Together they provide 32amps if working properly.
Another thing to consider is the supply. In most instances, you aren't delivering 240V to the vehicle. It's quite often somewhere between 210V and 240V. For instance, at my house, I rarely deliver more than 230V to the EVSE, so my 30 amp unit can't deliver more than 6.9kW to the car even though it can accept it. One thing I've seen all over the internet is how most people just use 240V as the figure they use when calculating charging times, and that's not accurate. It's even worse when using public charging infrastructure which typically uses three phase 208v supply. In those instances, it's very common to only be getting about 200v-202V.