I don't think there would be any need to go for HST differentials - just raise the general speeds. Given that the WCML can support Pendolinos at 125mph and locos at 110mph, there's probably nowhere that is sensitive to high axle loads, and if the Pendolinos can stop within the signal spacing then so can anything else that's cleared for 125mph.
You have to remember that when EPS speeds were introduced, no other non-tilt stock needed to run at more than 110mph on the WCML anyway except for the sections that have HST differentials.
THere are clearly places where 110mph on straight track can be increased to 125mph provided the braking capability of the 397's and 80X matches Pendolino braking distances. Then it is all about how much money needs to be spent recanting curves and altering curve transitions to suit non tilt at higher speeds.
I think Gareth Dennis mentioned that key to this was faster freight speeds - requiring powerful electric haulage. You cannot raise cant much higher if freight is trundling through at low speeds. So a holistic approach is needed.
Interestingly the EPS speeds through most of the freight loops is lower - even if the track on the main line through many of them is fairly straight.
The Carstairs to Edinburgh section looks straight enough to allow higher speeds for much of its length. I guess the cost of resignalling is the issue.
And more time would be saved creating a new Carstairs south junction with a flyover/diveunder allowing speeds of 70mph or higher. Not sure traffic levels warrant that, but it would future proof the junction and reduce conflicts in case of delay.
The time saving for EPS over current non EPS limits is several minutes - which incrementally reduced the complete London to Glasgow time.
TPE schedules are currently v similar to Pendolino's even if the Pendolino SRT's are quicker. Looks like increased dwell times for Avanti are what equal the schedules out in the current timetable.
There must be appx 5 to 8 mins time saving if the 397's could be allowed to run at 125mph vice 110mph between Wigan and Carstairs.