All cameras shake, it's just this one is super light.
I found shutter shake in my SLRs in the 70's. I spent a lot of time figuring solutions to the problem because I was making very large prints from my 35mm negs.
This is nothing new, but the ability to zoom in on files has created a whole new reality among photographers looking for the slightest evidence of image imperfection irrespective of its actual visibility in a final print (which is only rarely made.
This is not limited to Sony critics and the current shutter shock alarmists in the mirrorless world but is a fixture of digital imaging.