Did they use that specific term, too? Birth matrix? ETA: I looked it up and they fucked for a while until they became hermaphrodites. You will believe a man can have two sets of genitalia? Actually, I already did, but that's beside the point. And that doesn't make a lot of sense; if you were engineering it, I imagine you'd keep it simpler and just engineer women capable of clonal reproduction at will, or through external hormonal treatment, not a hermaphrodite capable of sperming themself like a banana slug. And if you can crate a "transducer lobe," I don't think this is a bridge too far...
Anyway, yeah, I can totally see the lift though--from telekinesis to the phobia of contact. It also seems very familiar to me from more contemporary SF, specifically the neohumans in Houllebecq's Possibility of an Island, and while I suppose he might have read Man of Steel (iirc, Houllebecq read American comics as a kid) he far likelier got it from Asimov.
But I dunno. I was thinking about it a little more and it made me wonder if that's why Matrix Supergirl was named Matrix, and he had different plans originally. I mean, "birth matrix" makes semantic sense, "Matrix the shapeshifter" less so, and you'd think you'd eschew using the same word for different concepts if you didn't intend to tie the concepts together.
Then again, I'm just blue-skying and probably projecting my own ideas onto that.