Charging Olight H15S battery in car?

Brought an Olight Wave 15 Headlamp that uses an 1200mAH Li-Ion that charges off USB. It says the rate is at 0.35A & that the actual charger is built in the battery. I wan’t to charge in car using a cigarette to USB adaptor which are 1A or 2A.

Will this higher rate matter? Will it overcharge?

The charger will only draw what it needs. There is no such thing as too much amps from a power supply in this case. Just like your computer might have a 1200W power supply but the machine is idling at 50W most of the time.

Thanks.