And if the mantra that “HS2 isn’t about speed, it’s about capacity” is true, there are a host of other ways to improve capacity to Birmingham. Lower first class share, denser trains (Class 745), Chiltern upgrade and I’d even speculate that Birmingham Snow Hill might be able to handle 400m trains if it really was that vital.
A full standard class 390 would have 636 seats a 12 coach 745 would have 722 seats.
A HS2 train was expected to have 1,100 seats, that's still with first class seating. Even compared to the 745 that's about 50% more seats.
Even running 4tph compared to 3tph would give the 745's 2,888 seats vs the HS2 trains 3,300 seats, giving HS2 14% more capacity.
If you could up the 745's to 300m then you potentially get 3,610, however you'd need 15 coaches to do so.
However, as the 745's would only be able to run at 100mph and so that's going to take quite a bit longer than 49 minutes, if we assume 125 miles then that'll take at least 75 minutes (assuming no station stops and averaging 100 mph, which is Impossible), probably more likely 90 minutes.
However to run 4tph with a 75 minutes journey time and a 15 minute turn around at each end (which would also be impractical) you'd need 180 coaches. In the real world it'll be more likely 225 coaches.
That compares with a 49 minutes journey time and a 30 minute turn around for HS2 services and you'd need 128 coaches (you'd also need fewer staff). Therefore even if each HS2 coach was 30% (or more likely 75%) more expensive it would still be cheaper to buy the HS2 fleet.
I also don't understand why your statement about fitting 400m platforms at Moor Street implies doubt, as basically that is what Curzon Street is, as it'll basically be abutting the existing Moor Street station.
Using existing Moor Street station platforms would reduce capacity for local services.
Also by heading almost due north from London you can't connect to Old Oak Common, which means that passengers south of Reading are reliant on XC services, something which their not with HS2 as the journey time visa HS2 from Basingstoke to Birmingham would be comparable but at a higher frequency (assuming existing service posters, so no direct train from Basingstoke to Old Oak Common and a reasonable interchange time).
Whilst not everyone would it to change twice, it is a viable option for many. As whilst direct trains are preferred, this is often due to the "what happens in I miss my connection at 10:30, as the next service isn't until 11:30", with at least 3tph on HS2 that's less of a concern and you've always got the fallback of XC if there's issues on HS2.
Why do we even care about stains in this area, well according to the latest data across the day Reading has more arrivals than Manchester and is second only to Birmingham. Figure 3 from this link:
www.gov.uk
Now whilst in the morning peak Manchester does best it, it's still tied third with Leeds (Figure 4 on the above link).
Whilst there'll be a lot of arrivals in the evening peak from London, that doesn't account for the tired with Leeds numbers for the morning peak.
How does HSUK connect to what is, from the data above, a key hub station?