The ability of the supply current almost has no bearing on the current draw capability of the charging device, unless it’s below the charging devices rated capability, then it can get too hot and burn out or worse, let the magic smoke out.
Tie in the 5vdc rail of a ATX powersupply into a USB port, it is capable of pushing 35A, but the device will only draw what it can to charge it’s batter based upon the Charge Port logic on the data pins of the USB cable
This is why I was fiddle futzing with that 2 port self ranging DCP board …have it tell the device to pull the most it can safely but also be able to have PLENTY of power available for multiple devices, and also have it scalable/expandable in case I wanted to add more ports at a later time.
Plus wall warts are a source for parasitic drain and can drive your power bill up
Either way…just not “hot” on wall warts, never was (plus it’s a pain in the butt to find space for another wall wart on a power strip that is almost full, unless you get one of those fandangly ones with extra space between the plugs 
)