I know there are a lot of comparisions with the situation in France, and SNCF, but fundemantal needs and geography are very different.
The distance between major population centres in France is much greater, and the bits in between are much more sparsely populated. Its very noticable when leaving Paris for example, suburban sprawl suddendly becomes farms and fields. SNCF TGVs are 'proper' intercity services for the most part, with 1-2 hours between stops on many routes. Service frequency is lower, but services offer a capacity we can only dream of in the UK, with major routes being potentially a double unit of double decker TGV. Because stops are infrequent station stops tend to be longer, as passengers board and exit.
The particular situation with Haute-Picardy is strange. Its in the middle of nowhere, but was intended I believe to serve Amiens via a dedicated connecting bus service. When I was planning travel to view the 1999 eclipse that was one option that cropped up. In the end I ended up in Amiens but by a different route. I have stopped at Haute Picardy once more recently, and it certainly wasn't well used.
I find the general push to keeping adding stops to long distance services in the UK to be odd. I realise people want connectivity, but ultimately it impacts journey time and passenger comfort, a 3 hour journey on train that stops every 15-20 minutes feels much longer than the same journey with maybe just one stop.
So I think building HS2 as first stop Birmingham when the original Y route was on the table was the right decision, as to route and cost, thats a different story, and now the northern legs are effectively cancelled I can see that possibly adding some connectivity into the middle might be a good idea for a project which to my mind is now teetering on the edge of 'white elephant' territory also owing to its failure to reach Euston in a timely manner.