I don't have that much to add, other that I agree that you may add these dice regardless of range . Like willismaximus says, the dice themselves are not inherently range dependent, you just remove "unappropriated" dice at a certain step of the attack. Whatever happens after that are not affected by the range, unless otherwise is stated in the specific card/ability.
In order for the ability to be dependent of range, it would have to be worded like for example Enhanced armaments (ie. adding dice to a battery armaments before the range is checked), or Concentrate fire (ie. adding dice to the established attack pool, after the range check).