Well of course there is. There's currently 10 trains an hour in each direction that run non-stop through Milton Keynes.
There could easily be an initial service along the lines of
Slow lines
6tph London-Harrow-Watford-Stations to MKC
6tph London-Watford-Hemel-Leighton-Bletchley-MKC
Fast lines 6tph London-Watford-MKC-Northampton
4pth London-Watford-MKC-Rugby-All_stops_TrentValley-Stafford
4pth London-Watford-MKC-Rugby-Coventry-Airport-Birmingham
And I suspect stops at OOC will come too.It’s a high speed intercity line that only has a few stops (compared to a local or commuter service). It can’t provide local services, it doesn’t have the stations or the track to do so. It also won’t be high speed of it stopped every 10miles.
It's less about moving local traffic off current lines, and more about freeing them up to provide local services. You could potentially see something like Bawtry station[2], which is between the two, brought back into service if there is demand, whereas it might not currently make sense to do so as the line's primary purpose is intercity travel.
[1] Not necessarily something that might be affected by HS2 - just a set of stations I know as an example.
[2] Closed in 1959, but Wikipedia notes: "land near the station has been protected should the site be required as a new station, with car parking facilities, in the future as the town grows". The line initially went Doncaster-Rossington-Bawtry-Scrooby-Ranskill-Barnby-Retford, but now only Doncaster and Retford remain.
Two stopping trains per hour between local stations is not enough and if any were cancelled or delayed it created hell.
I left partly because the commute to work sometimes took 2.5 hours each way and was ultimately draining. And that was living on the outskirts.