The AWA is more important for those whose first language isn't English. As bb stated, admissions will notice any discrepancy between the AWA score and application essays. Adcoms are brutally efficient at catching such things, so aim for a 5.0 on this section.
But don't stress yourself out about it. If you earn a 4.0 or 4.5, you could reassure admissions with a solid verbal score.
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