The notion of genetics used in Genetic Algorithms (GAs) is a very stripped down version relative to genetics in nature, essentially consisting of a population of 'genes' (representing solutions to some predefined problem) subject to `survival of the fittest' during iterated application of recombination and mutation.
Nowadays, the term 'Computational Intelligence' (CI) tends to be used to describe computational techniques intended to produce `the appearance of intelligence by any computational means', rather than specifically attempting to mimic the mechanisms that are believed to give rise to human (or animal) intelligence.
That said, the distinction between CI and AI is not so hard and fast, and arguably arose during the `AI Winter' when the term AI was out of fashion.