Leeds will, it'll have a north-west curve onto the HS line to Newcastle when it gets built.
The site in Holbeck is also not viable, as it would require the demolition of nearly all of the Holbeck Urban Village, one of Leeds' main growth areas for new businesses, so that's not going to happen.
As for CP, too many people are looking at the OS and not the topography.
The station was in a cutting, which has been filled in, so there is a gentle rise in height from the southern end of the site, and the portal to the existing rail alignment, to Hunslet Lane.
The station, if built, will be in a cutting, and will have Hunslet Lane bridging it, cutting through the trainshed. The actual station buildings will be where the Tetleys Brewery (if you're looking at overhead photos, it's now been demolished, was).
So the main entrance to Leeds HS will be on Meadow Lane & Salem Place, rather than the South Side of Hunslet Lane (if you look at the overhead photos, on bing maps, there's currently a petrol station there).
From there it will be easy to build a footbridge over the Aire between the redeveloped warehouses and ASDA House, to Sovereign Street. City station is then dead ahead, and that's the site for the South Eastern entrance that's been discussed.
The distance will be about 250m, walkable easily in 3-5 minutes. Also the station will be adjacent to the Leeds Bridge, and only 5 minutes walk from Briggate, the heart of Leeds.