Privation and Divine Hiddenness

J.L. Schellenberg insists that the problem of divine hiddenness should be viewed, not as a subspecies of the problem of evil, but as a unique problem in its own right. He supports this view by saying that the hiddenness argument is discussing something which only theists would view as "evil," whereas atheists would not. To quote:

Although a theist may indeed keenly feel the value of (what she takes to be) an existing relationship with God and may be inclined to view anything contributing to its absence, even for a time, as a bad thing, and although in debate an atheist may be tempted to take advantage of this, such moves only mislead in the present context. The atheist would properly be quite content were we all to recognize simply that, given certain definitional facts about ‘love’, the situation of hiddenness is in conflict with the idea that a God of fullest love exists, as opposed to feeling that hiddenness represents something bad that a benevolent or morally perfect God would resist.

However, it seems that once we adopt a privation account of evil (or something similar, such as Pruss' misalignment view), this argument simply collapses. After all, it seems to be a key premise of the hiddenness argument that, if God exists, then a relationship with Him would be a good thing (otherwise the lack of it could not impugn His perfect goodness). But then, hiddenness is simply the lack of a good thing (i.e. a privation), which, by our definition, would make it an evil. Therefore, the problem of divine hiddenness simply is a form of the problem of evil.

One might try and counter this by saying that an atheist doesn't regard their lack of relationship with God as an evil; they don't believe that God exists, and as such, a relationship with Him cannot be a due good that they are lacking. However, the hiddenness argument seems to be saying that if God exists, then a relationship with Him would be a due good, which some people are nonresistantly lacking. It seems, then, that we may regard it as an attempted reductio of theism, which tries to show that there is a specific gratuitous evil which would have to obtain if God exists, yet which would also (allegedly) render God impossible.

TL;DR: On a privation view of evil, divine hiddenness may be regarded as a specific form of the problem of evil. What makes it unique is the fact that the evil it posits (i.e. the lack of a due relationship with God) is one which can only obtain if theism is true, since if God does not exist, one cannot be said to lack a due relationship with Him. The problem of divine hiddenness therefore provides an interesting twist on the POE. It also seems that a solution to the POE more generally would also serve to solve the problem of divine hiddenness.