These Strategies are a requirement that has now been added into Town and country Planning (Scotland) Act. http://www.legislation.gov.uk/asp/2019/13/part/4/crossheading/forestry-and-woodland-strategy/enacted
Most councils already have a FWS and these are normally accompanied by spatial data. However, most do not seem to be openly available online.
Some of the strategies are produced jointly across Councils, e.g. Strirling and Clackmannanshire, Edinburgh and Lothians, Glasgow Clyde Valley.
Generally, the FWS datasets contain similar attribution which identifies the FWS Classification, or the potential areas fro woodland expansion. The attribution is usually along the lines of Preferred, Potential, Sensitive, Unsuitable.
Some of the councils have produced a few layers of data for their FWS which might apply specifically to woodland planting types, e.g. a separate FWS layer for native woodlands or for productive woodlands.