Ruffy – your Plan’s By-Law doesn’t prohibit the keeping of all animals, but rather (as an “out”) provides instructions about how residents may seek the consent of the Owners Corporation (O/C) to keep some animals on Lots – so it’s actually a good example of what I meant about such By-Laws being instructive rather than strictly prohibitive.
In my experience, the (otherwise inconsistent) Consumer Trader and Tenancy Tribunal (CTTT) is consistent in its “liking” for By-Laws that don’t simply prohibit certain things outright!
By the way, the additional “out” is that guide-dogs / hearing-dogs / and, I think you’ll find, dogs that are considered by a resident’s Medico to be necessary as a “companion animal” must be consented by the O/C under the provisions of S49(4) of the NSW Strata Schemes Management Act (1996), with conditions.