I think they should have gone with 'hybrid EV' or something similar. Not many reviewers understand the petrol generator and the one speed cruising lock up clutched direct drive.
According to the Dartford Crossing, it's a plain CVT car:
JAZZ EX I-MMD CVT
is what comes up after I put my registration in.
There are several sections of road where I have to accelerate up to 70mph briskly in fairly heavy traffic, so I have experienced the 'gear changes' when doing so. They don't usually happen at other times though.