Cloaking booster results in an already cloaked ship being immune to tachyon beams, and hence cannot be revealed. However, a ship cannot boost itself, nor can a ship boost another ship that is already supplying a cloaking boost.
The result of this is that to be able to detect (and destroy) the scouts, the AI has to reveal, and destroy the non-boosted scouts, to reveal another group of them, and so on, the group shrinking each time, rather than the 1 scout dying instantly in a puff of smoke as soon as it gets revealed.