Maybe you could submit an issue to the repo to include a way to change the format of the saved folders.
(I'm thinking something similar on how immich allows to change some formats)
I'm seeing in my instance the names seem like some sort of timestamp, not sure if the code uses them in a meaningful way, so probably the solution would be to create symlinks with the name of the site or some other format while keeping the timestamp so the rest of the code can still expect it.