According to the question, culture is defined as the learned rules of a society. Based on the definition given above, the examples about the primates seem to reflect true culture.
Culture is the full range of learned behavourial patterns. In case of the Japanese Macaque, Ito acted as the model from whom all the other members in that particular population learned a certain behaviourial pattern. One should always remember that culture is region specific as is abundantly seen in the case of humans. Another evidence is the basic tool use in chimps. As is mentioned the usage of tools show regional variation and hence implying a learned behavourial pattern in a particular population or culture.
These cannot be classified as behavourial variation because these variations then should not be community specific. Behaviour is basically the way an organism responds to stimuli, so behavourial variations are usually either specific to an individual or to a species. This is not the case in the examples given above.
Hence it can be conclusively said that the above mentioned behaviours reflect true culture.
Culture may be defined as the learned rules of a society that goverll tile De havior...