I've updated all of the paths you indicated (https://www.openstreetmap.org/changeset/149514619). Please note the following:

1. To mark a path as private, you should add `access=private`, not `access=no` (and similar for restrictions specific to certain modes of transport).
2. It is unnecessary (and in fact wrong) to add `name=Private` to mark a path as private. Routers won't take this into account either.