I have a late 2019 (69 plate) with the shallower wheel well - this does not fit a full size spare steel wheel (my car is fitted with steelies and not alloys) and only just about fits a space saver spare wheel (although even then the fold down cover will not sit perfectly flush with the surrounding floor - I have resolved this by covering it with a rubber Honda Jazz boot tray).
On short every-day journeys around home, I carry the space saver wheel, but if I am taking a long journey away, I replace this with a full size Honda steel wheel and take out the boot tray (a space saver is absolutely fine for short journeys and to get home in an emergency, but for personal convenience I wouldn't want to be stuck with it hundreds of miles from home for the reasons already stated by others).
One word of caution - as already pointed out, there is no fixing point for a spare wheel in the later Jazz models and if this is left loose, it could prove extremely dangerous in a car crash (you don't want your spare wheel flying out of the wheel well). I have resolved this by fixing the space saver wheel (and full size wheel when needed) with ratchet straps fixed to the boot anchor points, surrounded by old sheets to stop it moving around (you can't see these when in use for the space saver as they are covered by the wheel well lid and boot tray).
Hope this helps.