They never actually used the Bird of Prey cloak for anything useful in the show. The lines "a ship is approaching" and "they are moving off" could have sufficed for both incidence of use.
The Mines themselves should have been the first appearance of a primitive useless cloak that only works on stationary objects with a low power source explaining the weak childlike quarter kiloton yield.
Frankly their use of ship cloaks in Enterprise even for the Suliban was unnecessary when they could have used say some type of sensor blocker. Visual detection is not something they use much in Star Trek, the view screen is mostly a sensor readout put to images.
Between that and the Ferengi and the Borg they should not have kicked cannon so much in the balls and hand waved it away with silly explanations like they didn't drop their name. Enterprise was good but it could have been just as good without the avoidable beaches in cannon.