"accurately pointed out" is a correct and usable phrase in written English.
You can use it to indicate when someone has identified something accurately and precisely. For example: "The flaws in my argument were accurately pointed out by my opponent."
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.
"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".
The BBC has accurately pointed out that it is within its legal rights to serve up foie gras seven days a week, 365 days a year, if it so desires – but what about its ethical obligations?
And yet, she continued, as Sophocles accurately pointed out, it can take so little from doctors to turn that around: a daily visit, a few minutes of friendly conversation, or sometimes just a new young ear to hear the old story all over again.
Caspit accurately pointed out that this is a "right wing" sentiment.
He accurately pointed out that almost all the reforms achieved under the Obama administration are temporary and discretionary.
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.
A June 13 news article accurately points out that the defense industry is -- regrettably, in my view -- not playing a perceptible role in promoting the need for antiballistic missile systems.
