From a machine cost point of view, general wisdom is that external radii are more expensive than chamfer.
However, this is highly dependant on the specific application as eromlignod explains.
In many cases there is little or no cost differenc.
Also with CNC machines, if the rad/chamfer is created by the path of the cutter then the price difference is negligible.
Another factor (not relevant to your OP & assumiong shape created by cutter) if you have chamfers of different sizes on a piece, these can often/usually be made with one tool. If you have a number of different radius you'll need a different cutter for each size radius - which means more cost.
Generally I spec a chamfer unless there is some other functional requirement for a radius - such as your paint concern.
(This is all based on what I've been told, not what I've done first hand.)
KENAT, probably the least qualified checker you'll ever meet...