I agree with SomeoneElse. If in reality those roads are used by motor vehicles (illegally or not) we have to tag them as highway=track with an appropriate access tags. As I see from satellite imagery those roads are heavily used by offroaders. If there are some cutlines to prevent fires there is also a correct tag for them.

BTW, I plan to visit that area after quarantine to see how it looks like

Hi!
I haven't been there. I just use imagery.
Yes, that's a problem if not all roads are open for public use, but the only right solution in such case is a proper access=* tags on all of them. They does not look like just "path". How can we do a proper tagging?