https://www.telford.gov.uk/downloads/file/1745/silkin_way_-_cycling_and_walking_route describes silkin way as indeed going this way. see page 2 of the pdf.

the route is not very well marked out in-real-life - a survey would not do much, as there are no signs in this area for the silkin way. having followed the silkin way through here from north, i do know this is not an unsafe option, and the crossings on the north side don't seem to suggest a continuity from north; they dip very far into the hortonwood road.