I think I have the answer to my question: "yes"
Yes , it is a problem to have a distortion in the current signal, it is called THD (Total Harmonic Distortion) In my case this THD is caused by the high frequency current pulses.
So, to avoid this problem, we need some sort of filter to smooth the current waveform. Exactly like solar inverter output filters
After I applied the filter, I got very nice current graph except some common noise related to the poor probing and exposed wires and the component's selection, but in the end it works very well.