Not necessarily, you're overthinking this. It's just what anyone with basic vernacular knowledge of English but no actual Russian language skills would do to generate 'pseudo-Russian'. It's a pretty common idiom to make an English adjective into a Russian sounding one by adding '-ski' to the end of the word, and then to pluralise it, add -s to that, as in normal English.

So, for many small Russian cats, we have the following:

    'Kitten' -> 'Kittenski' -> 'Kittenskis'

The definition of the '-ski' [1] suffix has some other examples. This advert [2] for yoghurt (and yes, it was for Ski unfortunately, and somehow they spent GBP 8.5 million on it...) from 2003 also used the same formulation. See also 'Eye Dialect' [3] used to show foreign or regional speakers in literature, or the use of a backwards 'R' character to create a faux cyrillic, Russian feel; as seen in the Tetris logo.

    1. https://en.wiktionary.org/wiki/-ski
    2. http://www.campaignlive.co.uk/article/170244/nestle-comes-faux-russian-relaunches-ski
    3. https://en.wikipedia.org/wiki/Eye_dialect