In fact, that’s how I garden: I spray seeds and random plants and see what sticks. That’s literally all I do in terms of interfering; the rest I leave to nature. I don’t understand “weed” as terminology in that context; I am not a farmer, I don’t aim for specific “produce”.
I consider it highly recreational to have transformed the previously dead “garden” and “lawn“ with “colorful one-year flowers” and the need to artificially water and all that strange “active gardening“ maintenance but absolutely no insects and no smells into a beautiful wild garden with buzzing insect life and zero artificial watering in only a few years time. The smell of the different herbs and berries alone is doing much for my quality of life. And the flowers that made it are much more “beautiful” and year-round colorful than the weird catalog almost-plastic tulips that the previous tenant replanted each year to have a few weeks of color.
Your end goal focus is fine and I'm glad it improves your quality of life. Same here whether I focus on edibles or natives in my own garden. But I'd caution you about the "throw random seeds" approach, unless you've sourced those seeds and aren't using retail seed package "for pollinators". Those are notorious for frequently including invasive species.
A few examples among many similar studies:
https://neobiota.pensoft.net/article_preview.php?id=118480
https://www.washington.edu/news/2002/04/18/wildflower-seed-m...
https://www.dtnpf.com/agriculture/web/ag/crops/article/2016/...
https://wssa.net/2017/08/make-sure-your-seed-mix-is-tested-f...
https://pmc.ncbi.nlm.nih.gov/articles/PMC8176916/
"See what sticks" is inherently biased toward fast spreaders that will outcompete and outspread other plants regardless of their ecosystem services. Even if they're natives.
But like the parent comment, I can't tell you that your own enjoyment isn't warranted in your own garden. The whole point of Indigene is to try and contribute to tilting the balance a bit more into being more aware and focused on the ecosystem benefits of what you plant or don't plant.