Frustrating. I like everything else about this phone (only had it a couple of days). But I have 3 kids. Even still shots tend to have a little motion, and sometimes they're indoors and not in the best light. It sounds like if they even bat an eyelash in medium light, the pic is going to come out poor (hyperbole, I know).
Always a compromise somewhere... I don't want to go to the S8, I don't like that form factor. But the camera is a relatively high priority to me, all else being equal. And while I'm sure I can get great shots with the G6, if the shots of my kids end up being disappointing half the time, then the other great shots are almost meaningless.
I had the same blurry low light shots on the S8+ if that helps any. The S8+ was using a shutter speed of 1/8 while he G6 was using 1/9 for the exact same pic taken at the exact same time. From my recent experience, Im finding neither of these phones handle low light movement very well at all.