Both the rust and gearbox issues were not an uncommon issue when they were relatively new.
My parents had both the tailgate and drivers door repainted by by the main dealer at 4 years old at no cost by the main dealer at no cost, and had the gearbox repaired when it was 5 years old at their own cost - the main dealer didn’t even want to repair/replace the gearbox never mind pay for it.
We didn’t expect either issue on such a new Honda, and we didn’t expect the dealer to have no interest - never mind goodwill - regarding such a major repair. Honda UK dismissed completely dismissed the gearbox when contacted too.
The paintwork was done because the main dealer was proactively contacting “all affected customers”, so not an isolated incident. The independent gearbox specialist who refurbished the gearbox said he was performing the same repair on Jazzes of the same age ona weekly basis.
They still have it15 years later, and they shortly afterwards bought another Jazz a year or two later, so it didn’t put him off the Honda Jazz. At the time Mercedes had a shocking reputation for such issues but Honda was unblemished. I suspect there wee far fewer, far older Jazz owners…