No, I'm not sure an LLC would prevent me from using it, but I'd probably choose to go with a competing org given the choice. Siphoning off profit over and above operating expenses from a sector that's already woefully underfunded is not a great look.
I'll be watching with interest though, and will take a closer look when you support Scala+sbt dependencies, repos outside GitHub, and drop the need to grant your bot access to my private repos.
You can also use our GitHub action to publish a stackaid.json file with your dependencies to a new repo just for the purpose of giving us access. This was your repos/source say private to us, but your dependencies can still be funded. It's a bit more effort on your part but hopefully addresses the concern.