Using a blockchain, you can store a specific output of your generative system in a way that's definitive and collaboratively agreed upon. If you believe in collecting / trading digital assets, that's a prerequisite for algorithmic systems.
One is of course allowed to care about proof of ownership and the method used to do so if they like :). I just didn't follow the response in context of the question of how it's different from doing the same without the blockchain otherwise.
Unrelated: Kickass you're the Monokai author - I still use that today! Have you ever posted a retrospective about Monokai?
Regarding Monokai, I’ve written some history about it here: https://monokai.pro/history :)
For example, it's just as easy - and more accessible - to put the code and example configurations with output in a github repository.
E.g. are the artists who worked on Flow (2024) no longer artists because the resulting images are generated rather than drawn? Most people would disagree, and hold/put forth a very different definition as a result, given even they were already credited as the artists on the piece before I asked the question.
Even the arguments in the courts about AI, which is a very different kind of "generated" output, stuck to showing the outputs can't be copyrighted rather than trying to argue whether the outputs were still art as the problem.