Both are accurate characterizations, but trying to squeeze them into the same sentence can get awfully clumsy.

Is that an accurate characterization of what you said?

A more accurate characterization of evolution would be "survival of the fit enough".

Neither of her themes constitutes a fair or accurate characterization of the situation in Chile.

However, that was probably not an altogether accurate characterization because other residents of the street said that a typical rent was about $170 a month.

That is not an accurate characterization of the President's testimony in front of the grand jury.

John and Andy agreed that this was an accurate characterization of their audience and did not pursue the matter further on the air.

Since video clips form the basis of the analysis, accurate characterization of real time events such as aggregation and dissolution is possible.

That was an accurate characterisation of what Dirac (himself British) would later argue against.

And so I don't think it's quite an accurate characterization.