The primary reason that HS2 is not currently plotting DD stock as the baseline is because someone noticed there is really only one manufacturer [Alstom] which means that you would be unable to actually have a competition for production of sets. This is the same as the reason given for CAHSR.
That's not a reason, that's a lame excuse.
The HS2 captive set order will be a rather large order, large enough to prompt other companies like Bombardier or Siemens to develop a product combining their existing expertise in both DD stock and multi-level stock. Hopefully there would be some back-channel contact strongly encouraging Hitachi to dust off the E4 Series Shinkansen plans and make a TSI version - a healthy incentive for adding economic activity within Britain (i.e. assembly) should help there.
The Bombardier MultiLevel Coach mark II is already used at speeds of up to 200 km/h on the Northeast Corridor in the USA. As this is fitted with mid-level doors and vestibule sections for high level platforms (similar to a Sydney and Dutch stock) it would probably be the best point for Bombardier to start development on a HS version.
DD stock works very well in Sydney regardless of whether the trains are limited-stop services. However there does tend to be a slight delay when boarding as people make a decision on which deck gives them the best chance of getting a seat!
It's well worth it though. The roughly 40% increase in capacity more than balances out the slightly longer dwell times and the regular users tend to do a good job of keeping the sluggards moving along.
The increased total capacity (people per hour, not trains per hour) makes double-deck EMUs a winner for any sensibly organised transport system. Whether it will work in Britain where there is an aversion to good connections in favour of irrational timetables with convoluted "direct" trains is a different matter.
40% extra capacity from DD outweighs 40% longer trains in most assessments where it is feasible to provide.
I agree, mainly because if the extra capacity proves insufficient then you can go from short DD trains to long DD trains (as an option specified in the original specification) much more simply than tendering for the design and construction of a completely new order.
It is prudent for HS2 to plan on using single deck stock and keep the double deck option "in the back pocket" in case demand projections neaer to opening date suggest that overcrowding is likely. With the trains built to Euro-standards they could even buy single decks initially and sell them on to replace by double deck if there was overcrowding in service. This does of course only apply to the captive units, the classic compatibles would have to be single deck.
What a load of cobblers! It would be prudent to go with shorter DD sets from the start, with adding capacity being as simple as ordering extra intermediate cars to be inserted into each set, or coupling them together as is already done with pairs of TGV Duplex sets. This option would allow the improved energy efficiency of DD to be enjoyed immediately, and improvements in usage levels would not require the replacement of perfectly functional rolling stock.
Any public knowledge of such a plan would make it very hard to secure the necessary finance for the initial SD sets, the financiers would need to factor in the very real possibility that nobody else would want hand-me-down rolling stock from Britain which might need to be refurbished to meet their needs rather than those of the British who specified the trains in the first place.
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I'm just trying to imagine double-deck on the London Underground.

I think the reason why DD isn't used on "true Metros" is probably more to do with the existing infrastructure than anything else!
The difference between a Metro and heavy rail is that a Metro is for predominantly standing passengers and doesn't require timetables, while heavy rail only has standing passengers during peak loads.
I wouldn't call the inner end of Sydney's heavy rail routes a true Metro, you still need to rely on timetables.