The Land Reform Act doesn’t really deal with ‘pavements’, it’s intended for ‘open spaces’. The Outdoor Access Code states we have a right of responsible access “over most land and inland water in Scotland, including mountains, moorland, woods and forests, grassland, margins of fields in which crops are growing, paths and tracks, rivers and lochs, the coast and most parks and open spaces”. It doesn’t mention pavements or built up areas.
The OAC does state: “In some places, byelaws, management rules or other regulations may have been introduced by a local authority or other similar public body and these may affect how you can exercise access rights”.
I think that most local authorities have byelaws that do not permit cycling on pavements, although you would have to check for your area…