The map isn't fine, it's wrong.
By overlaying the Very Light Rail (VLR) map and the Warwickshire County Council (WCC) Option 3 map on to a road map (Michelin) you can see how ridiculous what you say is.
The VLR map is appalling quality (it is skewed from north and some of the existing road and rail features have been drawn slightly out of proportion and following slightly incorrect courses). A 'best fit' of the VLR map on an accurate road map places Kings Hill station approximately on top of the Robins and Day Peugeot garage on Leamington Road. It marks the Coventry South Station as being somewhere to the just off the Kenilworth Road between the A45 and Gibbet Hill Road (near Cannon Hill Road and the side entrance to the Bishop Ullathorne School site).
The WCC map is pretty good quality (proportions check out well against a range of other source maps I have access to). The WCC map places the Kings Hill station on Kenilworth Road and approximately opposite the entrance to Cryfield Grange Road - that's 1.75 miles from where the VLR map positions it.
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