Final answer:
Option 2, replicating the non-critical video locally, is the strategy that best meets both data diversity and cost sensitivity considerations.
Step-by-step explanation:
The question is about finding a strategy for data replication that balances both data diversity and cost sensitivity. Replicating non-critical video across geographically diverse datacenters (option 1) and business-critical video across geographically diverse datacenters (option 3) would both ensure data diversity but would not be cost-efficient. On the other hand, replicating business-critical video locally (option 4) would be cost-sensitive but would not provide data diversity. Therefore, the option that best satisfies both criteria is replicating the non-critical video locally (option 2), as it minimizes costs and is an appropriate strategy for non-essential data that does not require the same level of protection as business-critical data.