It’s interesting that Chiltern should be looking to swap the transmissions over to a Hyrdraulic set up for their 172s as, as you touched upon above Hexagon, I believe they were initially ordered for their rapid acceleration - they were initially to be used on the stopping services into Marylebone allowing an increase of services stopping at Sudbury etc, without clogging up the “mainline”.
That's what I always understood, they were ordered for superior start-stop performance.
The other intreguing part to this story is that the last time Bombardier tried a more powerful 172 engine under a ScotRail 170, it rather didn’t take very well to the Hydraulic gearbox of the 170 IIRC.
I believe it caught fire IIRC. The NIR Class 4000s have the same engines as the 172s but uprated to 390kW (523hp) against 360kW (483hp).
In extension from that NIR's other DMU class - the 3000, has Voith hydraulic transmission. The 3000 and 4000s are used seemingly interchangeablely on individual services but only run in multiple within class in passenger service.
Presumably if NIR found the ZF transmission on the C4Ks problematic they would've changed to the same hydraulic transmission as the C3Ks by now as it would've meant near complete fleet commonality bar engine type.