Shouldn't a dash camera be designed to provide maximum plate readability rather than maximum depth of field? In which case the hyperfocal distance would be irrelevant! With a non-telephoto dashcam, it is normal to focus it at the hyperfocal distance, but this is not always desirable, many fixed focus cameras are focused much closer.
For a telephoto dashcam, the best distance to focus it at is probably at the maximum plate reading distance, since that is the distance at which you need the sharpest image, and thus will give the maximum plate readability. So it would be reasonable to argue that license plate size should affect the focus distance and thus depth of field.
Hyperfocal distance does not affect depth of field, it is just the focus distance at which you get the maximum depth of field, but it is not something you can change on its own, to change it you have to change aperture, focal length, and/or pixel size, which can affect the Depth of field and thus change the Hyperfocal distance, so it is depth of field that affects hyperfocal distance, not hyperfocal distance that affects depth of field!