Maybe , there are many type of reset .
for example , power on reset, external reset, burn out reset, watch dog timer reset. and what is more in some design with pll , you must deal with the instabilty of pll's clock wave . so it can make a reset circuit big and complex.
Before power-on reset released, the chip is idle without clock toggling. Once the power-on reset released, the internal clock starts to toggle, the chip will sink a sudden operating current, and you will see a sudden voltage drop on the chip power.
You may use a current probe to measure the operating current transient. Or you can cascade a small resistor about 1 ~ 3 ohm on the power pin, measure the voltage difference on both terminals of the cascaded resistor on scope, then you can measure the transient current you want.