So because Liverpool might have been missed out by Eurostar regional services it's a good thing that no one has them?
Pretty much. Just serving the 'in' cities that are blessed with Government Office HQs & regional TV news centres, as UKplc has an almost automatic habit of doing, puts Liverpool and other outcast cities at a disadvantage. If everyone else goes one step forward, even though you may well have remained in the same position, you have gone a step backwards, relative to everyone else.
I don't buy the 'Liverpool is the end of the line' thing. So what if it is? Lines have to end somewhere. As far as I can tell from maps of HS2, Birmingham will be on a spur whilst Manchester & Leeds will be 'end of the line'. Any extensions north will also not go via either of these cities; any tentative proposal about bringing HS2 to Scotland see the line break off before Manchester and going though Lancashire & Cumbria, making Manchester a spur like Birmingham.
And if infrastructure is a problem at the Liverpool end, upgrade the infrastructure. That's what they're doing in Manchester & Brimingham for HS2. All I want is a level playing field with other major cities. That's right, Liverpool is a major city. I know the rail network doesn't reflect this, neither does the BBC, nor most other typical UK state set-ups, but that's political and not actual. So please don't respond with something like "Well, why should somewhere like Liverpool be on HS2 anymore than a place like Ilkley?".