Yep, I think so.
Firstly ticket is (assuming it hasn't changed since NFM03) routed Any Permitted.
According to my reading of the
Routing Guide, the
permitted routes between Taunton and Cardiff Centre (both routing points) are CE and CE+WE.
Map WE is basically the
B&H▸ route between Paddington and Plymouth plus Castle Cary to Weymouth. CE is more extensive and does include the route from Westbury to Cardiff via the tunnel or Gloucester.
TLM