I'd dare to say that the genre itself is intensely influenced by black metal from its very beginning.
I'd say it's actually the other way around. BM was always compatible with Ambient, and at its peak, eschewed the last bits of rock that Death Metal still carried for whatever reason, and adopted a compositional style that was based on the organic growth/decay of motifs. Listen to Hvis Lyset Tar Oss
, Transilvanian Hunger
and Forest Poetry
, followed by some of these Ambient releases. You'll see how BM started to morph into a simpler-yet-more-fundamentally-complex language
in an attempt to express more meaningful content, take you into more vivid worlds and avoid artistic death (the whole "kvltness" delusion). Meanwhile, the less imaginative and the less creative were slopping together any piece of shit with a predictable style of production and calling it "True Satanic Art." Most people to this day are still lost in this illusion, and are oblivious to what truly makes BM so majestic.
Maybe you were referring to a subsequent, perhaps reactionary wave of Ambient [Dark Ambient; Black Ambient; Death Ambient] that took the aesthetics and feeling of Black Metal and Doom as influences. In that case, I'd mention Beherit's final two albums. They epitomized that dark, nasty yet mystical feeling their Metal releases conveyed.
MZ.412 did this. So did Abruptum. And they were toying with these ideas even before the Inner Circle formed (also quite similar to the concept the original Mayhem had in the mid 80's, but a different way of going about it). The complete sterility and bleakness of 20.SV goes quite hand-in-hand with BM, and I can see the cross genre appeal it carries. Lustmord himself doesn't appear to be much of a Metal fan, but his music is darker than anything I've heard in Metal; Black or otherwise.
Biosphere and Ildjarn - Hardangervidda
are taking the isolationist, Naturalist route and this is a different angle than the rest. Music like this is fundamentally praising and glorifying the same ideals and qualities as the good Metal, but untainted by angst or any negative emotions.