Your story resonates with me in several ways: at various times of your and your daughter's lives and my and my sons'. The apparently contradictory extremes of AD[H]D, like those of BPD, OCD, and ASD, are somewhat confusing, but that's what they are: apparently contradictory extremes existing in the same brain. [I have PANDAS, which has affective-behaviors in all the "D"'s, with some PT[S[D]] thrown in for 'good' measure, so I'm like an XDmutt!]
In the case of AD[H]D, Hallowell causes it "Driven to Distraction", in that a biochemical imbalance induces a tendency to an extreme, which is then opposed by auto-balancing forces [could be meds or other co- or sub- disordered reactions], which get into sometimes very confusing behaviors to Dx/Tx/Rx; plus, they are quite 'personalized', thus requiring special care in all of the x's.
These imbalances are by definition unstable, and can vacillate and have various longer-term behavioral consequences that are characteristic of the 'pure' disorder but can also be somewhat overlapping with symptoms of co- or affective- disorders, typically depressive behavior in the case of ADD, corresponding to the 'inattentive' part, and 'hyperactive' [thinking and/or acting], corresponding to manic and obsessive behaviors, in BPD and OCD, respectively.
But, for levity's sake if nothing else, look at it as a 'packrat' analogy: a packrat pack[rat]s a bit at a time, but is always packratting, impulsively scurrying around to and fro to get packrat pack stuff who-knows-where-but-it'll-know-it-when-it-sees-it, and so quite naturally, its house looks like a packrat lives there, and thus, yep! it's a 'packrat', all right!
And it wouldn't surprise me that it might never occur to the packrat that there's something wrong with the packrat, since the packrat is a packrat; or why the thought of the packrat itself cleaning up the packrat's own house would seem somewhat depressing-- ie heavily inertial!-- or that the packrat, like the white rabbit in Alice in Wonderland, would always be in a hurry, and late, knowing there's many places to go to, but not being able to get to any one of them and always getting distracted. And why meds might not alter the fundamental behavior [deeply ingrained? genetic? duh?] of the packrat and might not even make the packrat feel 'better' but might make things worse, certainly help get the packrat depressed!
Yea! And what's the story with this being a "disorder" anyway? Who do these "non-'packrats'" think they are, anyway? [So-called "ASpies" call such folks, "NT"'s

, but, then they're ASpies, so what would you expect? [Just kidding/ sik humor, unfortunately; please don't hold it against me-- I have many psychological "disorders"!

]
Anyway...
Nice to hear from you! Please hang in there!