How many minutes saved are we talking? Obviously we don't have EPS limits for anything other than back-of-the-envelope guesswork.
Don't know if there's a copy in the NRM or the National Archives, but at the time that InterCity was struggling to get the APT-S trains through BRs' appraisal process a study was undertaken to determine actually what the time savings from tilt would be on specific routes; the base for the comparison was the tilting APT-S train, and this was compared against the same train but with tilt removed. Obviously, the latter had a better power-to-weight ratio which gave it superior acceleration, and this resulted in the non-tilting train having a marginal quicker journey time on the ECML between Kings Cross and Waverley.
From memory, on the WCML the benefit from tilt was only really present through England's Northern Fells and over Beattock, but the route were it gave the greatest benefit of all was the MML; sorry I can't remember how many minutes tilt saved between St Pancras and Sheffield, but I remember that it did stand out from all of the other routes appraised as it gave a significant journey time reduction rather than a slight one - certainly more than the 2-4 minutes south of Leicester suggested in an earlier post .
I'm not sure how relevant an exercise undertaken over 30 years ago is to the MML as it is now, but it must have taken account of gradients, curvature, and speed restrictions which would remain such as over the Newark crossing; I say that because I recall it being explained that the superior power-to-weight ratio of the non-tilting APT-S meant that the climb north from King's Cross through the Northern Heights gave it a journey time benefit through London's suburbs, and I guess the same would apply up Stoke Bank from a Peterborough stop (although I can't recall that being mentioned), The exercise also only looked at potential journey times, and didn't take account of capacity or signalling constraints present when it was carried out
Pendolinos might not have the potential to produce significant journey time benefits over 222s or 810s, but tilting trains with identical rates of acceleration to them might be an option worth considering on the MML; but would the overhead need tweaking to accommodate such trains, and would the power supply need strengthening as well?