It's sort of like asking what the business case is to have repos on GitHub instead of having a private git server / GitLab.
The value is because "that's where everything is happening": ex. I just did a 4 day hackathon wrapping llama.cpp on _all_ platforms for my as-yet unreleased app. If you need a local AI / llama.cpp model, you go to HuggingFace, full stop.
Then, I want to host these models on my own - I don't want to rely on the HF repos of 3rd parties being stable. Few clicks later, started my own, and uploaded the models. Then, I translate a Python function to Dart, and I can download these models, ranging from 2 GB to 28 GB, using the app, for free, without an API key.
That's much easier than S3, both in cost and integration time.
But still, the answer sounds naive and marginal I'm sure.