It depends on whether or not the shunt burns out. Since the shunt is a resistor the more current that passes thru it creates heat and temp rise with the square of the current. Maximum temp for any shunt is 145C. Beyond that, the alloy it is made from, called manganin, will be permanently damaged and it can simply burn out and not pass power any longer.
The power modules with their tiny shunts for the Pixhawk system were designed back in the day for little DIY quad rotors et al. They have not scaled well to the modern 12 and 14S power systems in use today. Therefore I don’t use them anymore. There is no way I will trust an expensive helicopter to a tiny shunt the size of a pencil eraser.
One alternative option (which I use in helicopters) is ESC telemetry/logging, which is available in most high-end ESC’s these days.