Likewise, fields advance quickly. I can grok how an z80 or 6502 works from NAND to Tetris, but even a mediocre second year grad student would wipe the floor with me. I, too, went pretty far down the road of mathematics, but watching MSRI lectures from the last few years leaves me struggling to keep up, in the field (algebraic topology) where I once felt comfortable. If you don't keep up with your field you're going to be lost.
The reason I think the 'black magic' trope keeps on being bandied about is because most people reading the articles describing ImageNet et al just don't have the background necessary to grok it[1]. If you had asked them a year ago what the convolution operator was, they'd have scratched their head. When they try to go and read that ImageNet paper they'll be left even more confused because the last time they thought about linear algebra was in their freshman year of uni. It'd be analogous to trying to write some computational fluid dynamics modeling software after not having taken/not touching diff eqs for a decade.
[1] This isn't to disparage those who didn't- everyone has their domain of expertise. I'm just trying to emphasize why the conception of 'black magic' exists. It's quite simple - when one has a tenuous grasp on the foundational knowledge upon some theory is built, you will have difficulty learning abstractions built upon said foundations.