Sure, but now you're moving the site from "Free data presented in a pleasant way to view" to a "pay-as-you-go database". Your audience shifts dramatically, and you lose the ability to share the data you're trying to present.
True. But it sounds like they already lost that.
No, it's free for everyone for the data sizes they have:
Free tier: 10 GB of active storage and 1 TiB of query data processed per month.