The “spirit” of strata by laws is to ensure that one does not behave in a manner which interferes with their neighbours “peaceful enjoyment”. For example, one shouldn’t invite guests who are excessively noisy, and one should not deal with rubbish in a manner which disturbs the environment for their neighbours. In keeping with this “spirit“, it should be possible for a strata to develop a set of guidelines for pets, which ensures that they do not interfere with the “peaceful enjoyment” of neighbours. For instance, guidelines could include dogs on leashes in common areas and pets never entering neighbours properties, etc.
Pets living in strata’s with appropriate guidelines being followed in no way interfere with the peaceful enjoyment of neighbours more than say a family with a number of children, and I think that we would all agree that it would be inappropriate to have strata laws that ban children.