Among other NEC permitted uses for flexible cords is "appliances where
the fastening means and mechanical connections are specifically designed
to permit ready removal for maintenance and repair..."
I think the best answer, if the device is listed, is by Calvin
Henry-Cotnam that the cord is part of a factory assembly.
wire requirements is so low you shouldn't be doing
Sure you can use 16 gauge wire. The size of the
wire has nothing to do with burning up your grill.
You could even use 22 gauge wire, but the wire
might burn up (and burned down your house).
Nothing you do will make the grill burn up. The
point is that you shouldn't be using 16 gauge wire
for any house wiring.
Wiring requirements are dependent on state and
local codes, not what some manual states is the
minimum requirement for the appliance to work.
The fact that you don't know that means that you
need a lot more knowledge before you wire anything.
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