The master policy is not your policy
An association insures common property and, depending on the documents, some portion of the structure. What it does not insure is your interior finishes, your liability as an owner, or your lost rent. Reading which of the common arrangements your association uses is the only way to know where the line falls, and the documents say so explicitly.
A loss assessment can land on you
Where a large claim exceeds the association’s cover, the shortfall is divided among owners. Loss assessment cover exists on many landlord policies for exactly that, usually at a modest limit, and is frequently absent on policies bought without anyone raising it.
Rental restrictions are real and enforceable
Many associations cap how many units may be rented, impose minimum lease lengths or require registration. Breaching those does not void your insurance, but it can leave you unable to rent the property legally, which is a loss of income no policy addresses.