"accurately points out" is correct and usable in written English.
You can use it when you want to emphasize the accuracy of something that has been pointed out. For example, "The article accurately points out the consequences of the policy change."
But as he accurately points out, neither did our leaders.
Douthat accurately points out that Schaeffer advocated civil disobedience to protest abortion.
Third, the Keynesian accurately points out that you could, in fact, increase growth by breaking windows.
On the broader question of America's global role, Mr. Haynes accurately points out that nonmilitary initiatives are sorely needed.
He accurately points out Mr. de Blasio's opposition to charter schools, and highlights the concerns of some parents about his plan to charge rent.
My Brother MARSHALL accurately points out that if the foreign policy goals of this Government are to be weighed the Judiciary is probably the least qualified branch to weigh them.
The Jus tice Department accurately pointed out that the laws were all but useless and had never been enforced.
"It did, indeed, point to a 2.8% growth effect in 80 years, by 2095, as we have accurately pointed out earlier in the week".
Romney called the bailouts a failure and accurately pointed out "the Bush administration and the Obama administration wrote checks to the auto industry" before he attacked that policy.
They have accurately pointed out that their Long Island rivals chronically suffer from financially questionable ownership and rumors that turn out to be fantasy.
Lori McCaskill, New York: You accurately point out the hypocrisy of those who publicly shame smokers in the name of health but consider commenting on someone's dining choices rude.
