Strata building insurance DOES cover the things you mention, it could be your SM is too lazy to lodge a claim. The strata insurance covers not only common property but the fixtures and fitting within the lot. It covers everything (just about) included when the house was built and all associated fitting, even improvements are covered under the fixtures and fitting part of the policy.
Get hold of a copy of the product disclosure statement (PDS) for strata insurance from your insurance company web site.