I believe Strength of the Fallen is not counted for on disengaging strikes.
That aside I really see this as more of models choices being sub par in headhunter. I agree with catbat07 in that headhunter is not about killing the opponents crew but picking up the heads. Reva is neither bad nor outstanding in headhunter, she can use all her tricks (mobility to pick up heads, killing things to make heads, killing important targets) for this strategy but you may end up wanting her to do everything. Picking minions that are AP efficient (nercopunks, belles, nanny, and Yin stick-out to me) are the best bet in this pool.