This is the relevant section of the act
65
(3) In an emergency, the owners corporation may enter any part of the parcel for those purposes at any time.
(4) In a case that is not an emergency, the owners corporation, may enter any part of the parcel for those purposes with the consent of any occupier of that part of the parcel or, if the occupier does not consent, in accordance with an order of an Adjudicator under section 145.
The Chairman and EC members may have no experience BUT it the the EC or OC that have to authorize repairs (NOT the SM). You can contact the insurance firm direct and ask them to send an assessor.
If the insurance firm refuse you need to get an independent inspection of the problem and an estimate of cost which you present to the EC. If they refuse to do anything about it you need to go to CTTT to force them too (if you have valid case).