I’ve googled neurotriptyline before, and I remember it suggesting nortriptyline, but at the time I didn’t know what it was, and I don’t actually remember looking closely or thinking too much about it (until now). I think it’s probably intentional, as you say, stemming from the drug nortriptyline, but altered for the new purpose/direction the show ended up taking.
It fits too: nortriptyline and amitritpyline are antidepressants, although when looking around at the roots of the words (the names come from the chemicals, not any direct Latin or Greek root), it seems that amitryptyline can also be used to help relieve pain. Anyway, if you were medicating PDS, you’d want to do a similar thing to what ami- and nortriptyline do - balance chemicals in the brain and sedate. ‘Neuro’ comes from the Green neuron, which means nerves, so neurotriptyline is pretty much a nerve antidepressant. I guess it depends how much detail went into the name, but the -triptyline part suggests it belongs to the same family of antidepressants (due to the chemical structure of the medicine).
I’m now going to spend the rest of the day drawing parallels between neurotriptyline and antidepressants - how much they’re needed, ways round them, etc. Because antidepressants do have a place and are definitely useful, but people don’t need to be on them forever, do they? The body can redress the imbalance. Hmm…
tl;dr - you’re right, I don’t think it’s a coincidence at all.