But certainly not to generate a need for reopening old lines
I don't personally see this specific intervention happening for a long time and my post was more to say that a suitable regional alignment already exists that could be reopened rather than building an entirely new line from scratch.
It is an advantage of HS2 that the freed-up capacity could be used in conjunction with reopened and enhanced lines like East-West. Places on the existing mainlines like Milton Keynes or Northampton are going to go from strength to strength with the extra capacity and connectivity enabled by HS2 and if Milton Keynes becomes a major commuting target in itself as a result it would not be a bad thing to provide additional capability for the MML and connections thereof to have direct services. East-West will prove the demand for regional lines like these, especially after electrification, and it is lines like these where real gains can be made in attracting people out of cars and onto public transport for journeys of all sorts. Then it goes without saying that having additional lines connecting the various mainlines does wonders for the overall reliability of the rail network.
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Out of sheer boredom I've taken the example platform design for Manchester from the Phase 2 route options report and overlaid it over maps of Glasgow Central and Edinburgh Waverley. I am almost certain that the scale is correct and it really does show just how enormous an HS2 terminus really is at 440m long by ~44m wide for four platforms.
Glasgow Central:
The platforms would take over the unused bridge piers but there would need to cantilever over them or more piers would have to be constructed to take the load. Unfortunately there is a Grade A listed four-storey building in the way on the corner of Jamaica and Midland streets. I have no idea what powers are available to deal with this little problem, especially when it's in the same legal category as the Forth Bridge or Holyrood Palace. Central Station itself is also Grade A listed but the extension works could be designed to be complementary to the rest of the building. As there would be a need to demolish everything from the station to the pavement on Jamaica Street in any case, the four platforms can be constructed without major operational changes being needed to the rest of the station (aside possibly from a closure of platform 1).
Edinburgh Waverley:
It's likely that the full extent of the curvature and tapering provisions would have to be used here, as they are at Euston. Unless there could be significant intrusion into the station concourse area, the buildings on Market Street would be very unlikely to survive unless it were possible to prop them up from beneath - I've never been in the Edinburgh Dungeons and so I'm not sure whether it would be able to survive the works in this location, or even survive a relocation. If the standard HS2 practices could be loosened for this case it might be possible to narrow the platforms from the 14m specified. Alternatively the option could be for the platforms to be in a bored tunnel underneath the classic station at considerable cost.
EDIT: And another:
Carlisle:
Carlisle has the advantage that for all intents and purposes there is no constraint on the land available next to Citadel station for complete rebuilding. When there is this much land available I believe that they would provide the city with a four-platform station rather than a standard two-platform one, especially when there will be many splitting and joining services. Non stop tracks, if required, might be able to pass through the station on the surface or alternatively they could be dropped into a bored tunnel.