The required figure protects them, not you
A lease that demands a hundred thousand dollars of liability chose that number to cover damage to the building. It says nothing about your belongings, nothing about where you would live if the unit burned, and nothing about a claim larger than the building repair. Meeting the requirement and being adequately insured are two different exercises.
The cheapest compliant policy is usually actual cash value
Policies sold purely to satisfy a leasing office often settle contents at depreciated value, which on several years of furniture and clothing is a fraction of replacement. The premium difference to replacement cost is small and it is the single most worthwhile upgrade on a renters policy.
The landlord will be told if it lapses
Where a leasing office is named as an interested party, they receive notice of cancellation. That is reasonable, and it means a policy allowed to lapse becomes a lease problem as well as an insurance one.