All season tyres are probably OK for Jazz 1.2 and 1.3 with its limited power, but as for the 1.5 I am not sure, they reckon proper summer tyres should be used on more powerful cars. Bear in mind that all season are a compromise, they are not as good in summer as a summer tyre and neither are they as good in winter as a winter tyre. I would use all season if my car had pressure sensors built into the rim if only to save the twice yearly re-programming of the sensors to the ECU. With ABS system of TPMS I use steel wheels in winter with winter tyres and alloys in summer with summer tyres. This spreads the wear of the tyres and also protects those costly alloys from winter kerbing and salt damage. Once you have the steel rims the winter tyres are not expensive, especially if you go for 175/65R15 size, which are better in snow than the wider tyres anyway, and a lot cheaper because more get sold. The steel wheels also protect the brakes better from salt and water as there are a lot less open areas in the rim than in an alloy wheel. The added benefit is that you can use a winter wheel as a spare in summer and a summer wheel as a spare in winter, saving the cost of a separate spare wheel ( or a spacesaver, I have driven on a spacesaver a couple of times and it is a horrible experience - keep away from spacesavers if you can).
I have driven CVT cars in snow and they cope pretty well because with a light right foot they always select the highest gear they can and put power down gently through the tyres, which minimises wheel spin.
https://www.oponeo.co.uk/tyre-article/all-season-tyres-vs-summer-tyres