I personally wouldn't assume a more expensive action camera would capture number plates better. Some of the very cheap action cameras have crappy 1.3MP sensors meant for security cameras and they have blocky pixels that capture a lot of light per pixel. I was mucking about with a action camera based on a general plus chipset which is the worst chipset for action cameras and often used in those awful children's digital cameras and other very low cost digital cameras and I'm sure it had great night performance. The sensor had the least accurate colours I've seen I think, not very true to life at all. As sensors go up in megapixels it becomes harder to be light sensitive. I think Panasonic/Lumix released a 12MP compact camera not that long ago actually less megapixels that the previous model because it gave such good all round performance from that sensor with regard light sensitivity. Panasonic TZ70 which gives far better night photography and allows faster shutter speeds during the day or smaller apertures etc over similar cameras with more megapixels and less light sensitivity.Actually, the video below was shot using a cheap and common 2 year old Crosstour 4K, only 1080p. No image stabilisation, 60FPS. The scaled up screenshot of the number plate is at the end. And this is (obviously) at night. It's much easier to record clear plates of faster moving vehicles during the day. I don't think that a fortune necessarily needs to be spent on action cameras for this sort of task.
I've had difficulties at 30FPS, because there are a lot of duff frames. 60FPS increases the likelihood of seeing clear plate... 4k 30FPS results in larger duff frames. A faster shutter speed would help, but my cheap camera doesn't allow user control of that. The 64GB SD card size limit is annoying, shooting 1080P 120FPS fills the card too fast. Aldi's cheap camera can use up to 128GB.
Light Superzoom Travel Camera | DMC-TZ70 | Panasonic UK & Ireland
Capture breathtaking photos on every adventure with the LUMIX TZ70 superzoom travel camera, the perfect travel partner to accompany you whilst discovering the world.
www.panasonic.com
As action cameras go up in megapixels their light sensitivity of the sensors reduces and they have to compensate for that somehow, it could be slower shutter speeds or wider aperture etc. They almost all use tiny sensors with poor light sensitivity anyway so you can't assume that a camera that gives amazingly detailed video in good light will also be competent at night.