Shitter gave them the authority when they signed an agreement saying they would do the very thing you're upset Australia is asking them to do
Either they never should have signed, should announce publically that they no longer support and no longer wish to be a signatory to the statement, or should abide.
They can't sign things saying they will do everything to help remove these videos globally, and then get upset the first time someone asks them to. It doesn't matter if it's Australia or another party to the agreement, they agreed to it.
It's got romance, action, comedy, fantasy, safe for kids and families... Covers most groups