No, this route is not a permitted route for any ticket (irrespective of whether it is Off-Peak or Anytime).
The suggested route involves travel from Shotton to Wrexham. The only permitted route that allows you to travel this way is if you have come via Liverpool / the Wirral. The itinerary for the 17.25 is via Chester. Once you get to Chester, the only permitted route to Wrexham is direct (i.e. not via Shotton).
In practice it's a very poor outcome as it means there are no valid itineraries showing on National Rail for three hours. I don't expect that's intended.