The infotainment system on my Jazz EX I-VTEC CVT 2017 (Mk3) seems to retain most settings.
Before it will work after a power disconnect, its On/OFF button requires a long press (about 5 secs).
If the charge required because battery is flat, then beware that charging away from vehicle as this might upset the Auto Idle Stop system.
On the above Mk3 the AIS has not worked for 8 months :{(