...and that's why I bought two. They don't work. But of course you are welcome to try them yourself.
Unless something drastic happens (my car gets stolen) I'm never going to try, as I don't use roads. The two rear red lights I bought have never been fitted for that reason.
I'd be interested to see how your Osmo 3 copes with recording night footage, particularly of number plates. If you have problems: I imagine if you set the min and max ISO to be selected by the camera automatically, and keep the shutter speed static and high rate, it could do better than my GoPro. The Osmo 3 has a big sensitive sensor and lens, there's certainly potential, if there are enough user-assignable settings available. The Osmo 3 was my other choice, but I was completely put off because it requires online activation using an app before it can be used to do anything at all. The GoPro Hero 7 Black functions as a video and stills camera without the need for online activation.
I'm happy to demonstrate its capabilities, but I not wholly sure how I can accurately, since I don't ride on the roads. I could sit next to a road at night, and see if registration plates are visible?
Generally, I have the recording set to 4k because footage when loaded up to YT, looks very poor quality if anything less is used. I can try at 1080p and 25fps (or 24fps if you prefer) though I would hope for better results with higher frame rate
if the sensor will produce a result with higher frame rates.
Leaning on my photographer background, the big issue is achieving a good exposure with such a high contrast situation. I notice your front light burns out all detail in the image. I expect you have manually set the exposure to get usable footage in the half-lit areas. I would think, this might also blow out the detail of the number plates, even if there was enough detail potentially recordable with regard to frame rates, and movement of passing traffic. I would be inclined to add an LED (flood) sidelight pointed downward and to the right a little. Almost a running light, for want of a better term. If a yellow one was used (a white one with a yellow sweet wrapper), motorists might think it's some kind of foglight. With a yellow light, the rear number plate will fluoresce like it would with a white light, but not bother so many people because it would seem dimmer. (No blue light present.)
The answer is a second camera and a high-speed flashgun, mimicking the setup up used on passive speed cameras. I've often wondered what would be the response of motorists being subjected to these high power (camera) flashes, on road junctions where there is no official camera system, but where motorists often run red lights. Saw it again tonight, a white car in the lane next to me, as I stopped for the red, the driver plainly jumped the red light.