The phrase "assesses not" is correct and can be used in written English, though it is somewhat archaic or formal.
It can be used in contexts where you want to emphasize that an assessment is not being made, often in a literary or formal tone.
Example: "The report assesses not the financial implications but the ethical considerations of the decision."
Alternatives: "does not assess" or "fails to assess".
He assesses not only direction, writing and acting, but camera-perceptiveness, lighting, sound, the acumen or otherwise of producers.
Using the term 'regulatory technologies', this paper examines in detail two such technologies and assesses not only their benefits and limitations, but also their more subtle role in shaping the very criteria through which financial transactions and market actors are represented, framed, and assessed for their regulatory merit.
Thus, pHim assesses not only splanchnic oxygenation, but also arterial acid-base status.
Specifically, the GYTS assesses not only the prevalence of smoking, but also tobacco-related attitudes, school curricula, and advertisements, which are culturally influenced.
6, 7 The NPI assesses not only the presence, but also the frequency and severity of each behavior in the previous month.
SMMSE thus assesses not only episodic memory (encoding and retrieval phase) but also semantic memory, attention and probably executive functions deficit.
In making assessments about technology, it's vital to assess not only the value of the innovation but its chances of survival in the arc of its moment.
An employer really wants to assess not potential but performance.
The degree is assessed not through essays or examinations, but through weekly review sessions.
That has forced companies to assess not only their sales figures but everything about their brands, including their credibility.
In 42 cases, the houses were assessed not to have risen in value.
