Neither loathe nor love

Albeit slowly, we are improving our English!

No, it is not. The word ‘none’, like the word ‘among’, is normally used when three or more people/things are involved. Since in the example you have given, there are only two sisters, ‘neither’ would be a better choice. In this case, you would say, ‘neither sister is’ and not ‘neither sisters are’. It would also be possible to say, ‘neither of the sisters is/are’. Although careful users of the language would argue that ‘neither of’ should be followed by a singular verb (is), it is very common, even among native speakers of English, to use a plural verb – especially, in speech.

Neither sister was interested in seeing the movie.