If you're serious about your 10TB requirement, don't let marketing fluff cloud your judgment. You wouldn't trust a car that promises unlimited fuel, would you?
Look into dedicated storage solutions or cloud providers like Amazon S3 or Google Cloud, where you can pay for exactly what you need without the typical hosting shenanigans.

The largest storage capacity for shared hosting typically ranges up to unlimited, although actual performance may vary. Website hosting providers such as Bluehost and HostGator provide unlimited disk space, which is ideal for growing businesses.