There are a few factors here. First is that the HS2 stations are already designed with higher platforms. That means that the majority of passengers will have level boarding at at least one end of their journey, a benefit that risks being lost if you start playing with the designs.
There are precisely three stations designed with higher platforms. Old Oak Common, Curzon Street and Birmingham International with 17 total platforms. It is a tiny portion of the railway system.
The majority of passengers will get level boarding at one end of their journey using rolling stock, but only a small portion will
ever have level boarding at both ends.
915mm boarding height hgih speed trains
will be developed, and will
never provide this benefit on HS2 because of this.
EDIT: Recent reports indicate that only some of the platforms at Curzon Street will actually be fitted out, so the number that actually need modification works will likely be smaller than 17 in total.
The second point is that there hasn't been some curious oversight. The original specification was built with the full knowledge that the trains would be running into existing stations. The vehicle height is lower than Pendolinos, and a step has been specified to make the process safe and completely comfortable for the vast majority of users.
No it's not a curious oversight, it is simply a terrible decision.
A decision so bad that HS2 had to initiate an unwinnable legal action and only got its way because of Brexit.
The third and possibly most important point is that just because 915mm has been chosen as an arbitrary design height, the existing stations on the line don't actually have platforms at that height. Extensive work has been required to provide level boarding on East Anglia and Merseyrail. Given the range of different heights in play, it may be that the best solution is to figure out how to have differing height platforms at the stations, or to use a harrington-hump arrangement for wheelchairs.
Harrington Humps are unworkable above 915mm, because they will rip the sides out of other legacy rolling stock.
The cost of providing national level boarding at 915mm is far lower than at any other platform height.
Whether it's green tunnels, floor heights or anything else, the key reason why HS2 is proving so expensive is that every single aspect of it has gone through a detailed design process, resulting in a reasonable compromise solution which is good enough for all purposes, and then at the last minute some stakeholder who is politically too important to be ignored has come along and forced a redesign so that their narrow interests take primacy. Let's just get something built
I must be very careful with how I phrase this, but I think it is more likely that a major reason that HS2 is so expensive is because they appear to have repeatedly thrown best practice in the bin in exchange for some bespoke solution that they believe is superior.
The non standard platform heights, the very small diameter tunnels (in direct opposition to all practice abroad), the extremely high operational speeds (again in direct opposition to operational experience abroad).
The list goes on and on and on.
EDIT: Edited to make it somewhat more succinct.