I can confirm your mesurements, my abs max current is also much higher than the avarage max current. I did test this with 80A and it showed twice the max current with the Sampling Feature in the Vesc-tool.
I compiled my own firmware and boosted the abs max current as I have custum cooling that will allow to use higher currents. This removed the Fault_abs_over_current hickups. However I still get sometimes throttled down because of the current peaks, this limits my duty to 75% then. I will have to research this further when my setup is running again. I have no physical explanation for it, at least none that I think is reasonable, but I first experienced those problems when I lengthended my motor wires from ~15cm to 1,5m of 16mm².
And it is possible then to get to higher currents here is a short burst without watercooling of 120A:
Unfortunately I cannot make another measurement now. I’m currently reconfiguring my setup.
@PowerGlider : Do you really get 30kg of thrust at ~2250rpm? That’s pretty cool for 2kW Input power. I might just have to order one of your motors now.