That doesn't solve anything when the fraudster is filing a fake return. They are under no obligation to include all of your carefully chosen income and deductions that get you to $1000 owed.
What? In order to get a refund, that means you have to overpaid what you owe. It's pretty simple. If you are not putting in enough, the fraudster cannot get a refund as you still owe. Like, where is the break down? They would have to know how much you have paid, and then file so many deductions that it'd probably trigger an audit. If you file that many audits not with an account signing off of them, I could only imagine that would trigger an audit as well. Then again, the IRS has been beaten so badly that they barely have enough employees to function.
The fraudster claims that you installed energy efficient home improvements that qualify for the max $3,200 tax credit. Now that $1,000 in tax owed is a $2,200 refund. Maybe you get audited, but the IRS is certainly not auditing everyone who claims a tax credit.