A thought occurs to me. One of my objections to the proposed new Leeds HS2 station is it's position and alignment to Leeds City. At present, someone arriving off HS2 at the rear of a 400m unit faces close to a kilometre walk just to reach the majority of classic services and the main entrance to Leeds City and start of the main retail area. Even with a travellator along the connecting section between the two stations, this means that connection times that are currently at a minimum of 10 mins at Leeds could easily be doubled or even tripled. Basically we are now talking airport length connection distances as the southern end of the new Leeds HS station is practically on top of the M621, a very long way from where most passengers want to be (think Gate 55 at Manchester if you've ever disembarked there as my wife and I did last year returning coming in on the Red Eye from New York!).
Now this is bad enough for journeys from the capital, but if HS3 where to be built and services from Manchester use this you could easily wipe out the 20 minute saving with the connection time. And given that a large amount of flow is commuter / business between the two cities, it seems almost pointless having a quicker connection that just dumps you some distance from your connection, especially as quite a lot of flow comes from the Aire / Wharfe / Harrogate lines which generally operate from the low numbered platforms at Leeds, which are the furthest away of all from the new station.
So if HS3 is to be a genuine high speed connection, it absolutely must serve Leeds City itself. And frankly HS2 ought to as well, even if it means just moving it North 400M, although the general consensus is that it too ought to be integrated. Now at about this point the "but the cost, won't somebody think about the cost" plea is made. And yes, re-sculpting Leeds to accommodate HS3 and possibly 2 would involve eye-wateringly large amounts of money. But Leeds needs massive investment anyway. It's Eastern End is severely clogged up, and is limiting future capacity increases as well as preventing a much sough after eastern city stop, and at the Western end it doesn't take a huge amount of delayed services to have serious knock-on effects. So in other words, Leeds needs future expansion as well as a serious increase in capacity heading east.
It cannot surely be beyond the realms of imagination for those responsible for planning various projects to see the connection and the obvious, if expensive solution. Rebuild the station with increased capacity, including HS compatibility. Sometimes joined-up thinking is what's needed, not numerous separate project that try to bolt each other together and fit square pegs in round holes. I'm sure Birmingham would agree too!