MacOS – Mac OS internet Recovery mode stuck on progress option with globe animated screen

I am restoring my ipad as well, but the process has not stopped on me. either try at home, or take it to the apple store, they can help you, trust me, many people have already done it, and everything is okay

To use internet recovery you will have to format your boot drive using disk utility ⌘r. After you have formatted the drive you will be able to boot into internet recovery ⌘^r. That will allow you to downgrade back to lion. I hope that this helps.