Now it woluld be a 1 or 2 Ncap stars, for collision avoidance gubbins not standard and for body strength: now side and frontal crashes are more severe.
Do you know this or is it anecdotal? I would be interested if it is genuine.
I know crash testing moves on, but I look at the NCAP information and video for 08-15 Jazz and it looks good. I do know however that the Fiat Panda 2011 was NCAP 4 star, but in 2018 was 0 star.
In any event, the best safety device in any car is its driver. The safest car in the world wont help you if you drive like a fool. I have passed advanced driving tests and concentrate on what I am doing, so on that basis I consider my Jazz a safe place to be! 
Tested today with actual test protocols a 2012 Jazz would surely reach no more than 2 euroncap stars, to be honest 2 stars would be a very good and lucky result.
This because its chassis was not designed to pass:
-the frontal full width 50km/h crash;
-the frontal 40% overlap crash with a soft trolley of 1400kg standard weight;
-the side crash considering much more parameters (some of them needing a sidebag put between drive and passenger) for adults and children;
-the rear
crash whiplash for rear passengers;
-and so on: euroncap datasheets are clear about this
https://cdn.euroncap.com/media/47807/euroncap-2015-honda-jazz-datasheet.pdf and
https://cdn.euroncap.com/media/7449/euroncap_honda_jazz_2009_5stars.pdfWe must consider that manufacturers do not design their cars to be safe or to be clean: they design them to meet legal and commercial parameters current in a specific year and in a specific market and nothing more because it would be expensive in the assembly line. Cars for USDM markets must meet a roof strength test to protect driver and passengers from rollover damages, so cars built to be sold in the USDM have A, B and C pillars more robust than cars sold in Europe.
Here you can see rear bumper parts of a USDM 2017 Fit,
https://www.hondapartsnow.com/parts-list/2018-honda-fit--5dr_ex-ka_6mt/interior_bumper/rear_bumper.htmland this is the same part chart of an european Jazz:
https://www.parts-honda.uk/honda-cars/JAZZ/2017/14-EXECUTIVE/UPHOLSTERY/REAR-BUMPER/30747/B4650/5/30747As you can see the nr° 7 beam in the USDM Fit is missing in the european Jazz, this because Euroncap never tests rear crashes, they only test seats performance about whiplash.
If you check other parts, you will see that the front beam of the USDM Fit will be different from EUDM Jazz, as front driver bag and sidebags: this because of the small overlap test, so we can say that USDM Fit drivers will be more protected than european ones in a crash very similar to the small overlap. No driver will probably be weel protected in a crash with 45° angle, because no nCAP test, USA, EU, AU or latin, is moving manufacturers to well perform in this performance.
So if you see a 2012 Fiat Panda with 0 stars if tested in 2018 (and with 4 or 5 stars when tested in 2012), feel sure that every other mass production car designed in the same period will behave in the same way.
So we must say that a car will be safe only considering the specific test well performed: other fields are not considered in the design so probably the car will perform bad.