I've always thought of singularity as an unmarked form. You use the singular when there is exactly one.
If there is not one, either because there are more than one or less
than one, the marked form should be used, i.e., the plural!
The zero-is-close-to-one theory breaks down when we consider that two is just as close to one as zero is, leading to
None of us is here.
One of us is here.
Two of us is here.
(Three of us are here.)
!!!
I agree, however, with the advice given above.
CJ