Please do not tag access unless explicitly signed, and do not tag access=yes unless it is on public property (rather than private open to public). For example, it is unlikely that https://www.openstreetmap.org/way/1243035131 has a sign forbidding horses. If it is just written into law in general, the tag should not be used. Also, it is implied that pedestrians and bicyclists can use a cycleway and motor vehicles can't.