Thanks for the settings. They explain a lot about the picture.
Although you seem to be getting away with a good picture at night, generally the recommendation is not to exceed 50 on gain (gain increases noise). This may explain the presence of aretfacts in the night time picture which make it look a little as though you're looking through dirty glass (I presume the lens is clean here). They do seem typical of slight artefacts.
So far as the shutter speed is concerned, 1/60th is slow and may explain the "shaking" and motion blur. If you pause the video of the woman walking slowly with the dog at night even with lights on, one thing that becomes apparent is even at the slow speed she's moving, on a still image, many parts of the body are slightly blurred. This is almost certainly down to the shutter speed. I run 1/250th second by comparison in my 4kt at night but do have slight additional light.
The difference between light on and light off is marked and again shows this camera whilst not bad, it isn't that remarkeable at night. I bet with light off, gain at 50 and a shutter speed of 1/250th, you'd have a very dark picture based on lights off with the current settings.
That said, the positives are the picture you have is quite good as it stands. I think I'd leave the light on. You could try and shade the camera from light glare by placing something between the camera and the light, covering part of the light shade over at the camera side (I used window vinyl on mine but beware of heat here unless using low wattage led that runs cool (heat for both the vinyl and fitting that is as either could be damaged / catch fire if heat is trapped or they get too hot as a result)), or by fitting the camera with a shade. You seem to get away with the gain with minimal aretefacts, so I'd probably leave it at 66 and live with the slight artefacts that are there simply to keep the brightness up. The fact they're slight means effectively it's nit picking over the perfect picture and I wouldn't be worried by them. You probably do need to alter the shutter speed though which may impact the brightness at night noticeably. I'd try a minimum of 1/125, although in my experience anything less than 1/250 isn't going to give a blur free picture. 1/180 is a 1/2 way house. 1/125 could be decent enough provided there isn't fast movement though. I do feel looking at how dark the picture is lights off on current settings, 1/1250th might be unusuable lights off so I'd experiment and pitch for something above 1/60 but that still delivers a good still picture of moving people / vehicles. I'd also go lights on and address the glare issue in other ways such as those previously discussed. You could try sensor lighting but would need the sensor to activate ideally before someone entered the picture. This would keep brightness up and allow faster shutter speeds albeit anything faster than your current 1/60th will darken the picture over what you have now lights on.
Overall, when current gain and shutter speed are taken into account, the performance is unremarkeable but decent. It does produce a pretty good picture with light on and the current settings, although the shutter needs to be faster to give you more usable stills on moving people. I wouldn't run that shutter despite the current lights on picture simply because I doubt you're going to get decent stills of moving people which inevitably most theives will be as very few people stop and pose for a camera espedcially if up to no good. It maybe a case of compromising brightness for still usability.
In conclusion, I think if I had the money, I wouldn't be rushing out to buy one (no offence), as night time performance seems pretty average to me, but it's definately a decent camera and better than your 4/3rds.
Note this is just my opinion and others may disagree. Truly excellent low light cameras especially ptz's are in short supply at anything like affordable consumer prices. The last one I saw was a Sony? somone bought on here. From memory it was $6k for the camera body and $4k for the lens to match making it a $10k camera. The low light was amazing though it probably was cheaper to let people steal your stuff at that price than buy the camera!!!