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'not zero' is correct and usable in written English.
You can use it when you're emphasizing that something is not insignificant or inconsequential. For example, "I've seen a remarkable improvement in his grades – not zero, but a very significant increase."
Exact(52)
Not zero, and not two.
Now with offset not zero.
This probability is not zero.
But this game's not zero sum.
And 2 pi is definitely not zero.
"Most things are not zero sum".
Similar(8)
Not zero-sum.
These are not zero-hours contracts".
Religion and spirituality are not zero-sum games.
War and diplomacy are not zero-sum games.
It's not zero-sum.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com