Just be careful with your definition. Here's some things that are "generative AI":
- Speech recognition
- Zillions of AI tools in photo editors (e.g. "remove background" or tools that let you mask subjects). Yes, all generative AI.
- All sorts of title/logo generators.
- Upscaling tools.
Think about the reason why you want to ban generative AI: Is it because it sucks? Or because you have something against training AI models with images posted publicly to the Internet? Is it the environmental impact of data centers?
Be clear in your ban statement as to your reasoning so it doesn't seem arbitrary and capricious.