That's not a genetic algorithm, that's stochastic gradient descent.

To be a genetic algorithm it would need to have mutation (which you have here) and crossover (which you don't).

I agree it's not a genetic algorithm, but, it's also not stochastic gradient descent. There is no gradient. The "step direction" (code modification) is chosen by an LLM, which is "smart enough" to guess something that might be an improvement.