You have motor_vehicle=yes, which would indicate that highway=track was the best category. The wiki for that does say to use highway=path if it is not suitable for two track vehicles (i.e. only suitable for vehicles with all wheels in a single line) on the other hand the wiki for paths does seem to discourage their use for any sort of motor vehicle. If you actually mean it is only for motorcycles, I think you need to get advice from mappers in the country concerned, as I would say this was sufficiently borderline that it might be country specific.
http://wiki.openstreetmap.org/wiki/Path_controversy suggests that path is either not wide enough for two track vehicles or no motor vehicles allowed, except where specific categories are listed. 2m seems to me to be wide enough for two small motor cars, so I would say that the particular example was a track by this definition, unless specifically designated (preferably with a sign post) for motorcycle use.
Looking more closely, you access restrictions are not internally consistent. You have a default of permissive, but you then basically override that for all the vehicle types, by saying there is a right of way for motor cycles through heavy goods vehicles, and the use of horses, bicycles and feet is forbidden. There are no real categories left for the permissive default.
Also, these permissions represent the legal status, not an evaluation of the risk. This particularly combination would be typical of a motorway in the UK. Some major roads might also be very dangerous for pedestrians, but that would not be a valid reason for specifying foot=no.
I don’t know the specifics of this area, but the default access may well be no, with permissive access for motor cycle. However, I’m not entirely sure why a landowner would give permissive access to vehicles which tend to damage the land, without also giving it to less harmful modes of access, so I’m wondering if this is really access=permissive with motor cycle access set to designated, or even access=yes, with motor cycles designated.
foot=no means you are likely to be threatened with prosecution for trespass if you walk there. access=permissive means that the landowner allows people to use the land by any mode of transport, but could remove that permission at any time without having to go through any official channels. motor_vehicle=yes means that anything from a motor scooter to a tank can just turn up and use it, although they may have to pay a toll to do so; they cannot be refused at the whim of the landowner.
There is a possibility of foot=discouraged, etc., but this should only be used if there are signs saying it is unsuitable for pedestrians, not simply based on a assessment of the danger of walking there.