Sort of, I didn't dive too far into the math, but it looks like each diffractive structure is akin a layer of a neural net, which is tuned for a set of spatial frequencies and phases, which when combined (like layers of a neural net) to form recognition of more complex objects.
There are a few gotchas in that statement though - for one, I didn't dive too far into the math, and I would assume that the convolutional algorithms as well as the underlying matrix functions may be different. But at the end of the day, you're approximating a complex function using an array of simple functions with different weights and scale factors. The other gotcha is that diffractive structures use monochromatic light, so it's probably not too useful in most normal situations with normal light sources.