Another submission to the DfT was named “To repurpose the Warrington to Stockport line”. We have been unable to unearth any information about this proposal.

Map created by Alan Young and used with his permission | Disused Stations website

Driver’s eye view of the 08:41 train from Manchester Piccadilly to Chester train via Stockport, Altrincham and the Mid-Cheshire line | Train departs Stockport at 12:10 and Altrincham at 27:25 | Video by Don Coffee | Watch video on YouTube (1:18:38)
Overview of Greater Manchester reopening schemes

Further reading
Beeching Reversal – Re-Doubling Of The Mid Cheshire Line Between Stockport and Altrincham And Associated Station Reopenings, on The Anonymous Widower website
Mid-Cheshire: victim of its own success? by Steve Broadbent, in Rail magazine, 25 December 2013 – 7 January 2014 (pdf; 4pp)
Mid Cheshire Community Rail Partnership
Stockport, Timperley and Altrincham Junction Railway – Wikipedia