Final answer:
Public assistance is more controversial due to concerns about dependency, while social insurance is controversial due to concerns about insufficient coverage.
Step-by-step explanation:
Public assistance and social insurance programs are both controversial, but for different reasons. Public assistance is more controversial due to concerns about dependency. Some argue that providing assistance without requiring recipients to work or make efforts to improve their situation encourages dependency on the government. On the other hand, social insurance is controversial due to concerns about insufficient coverage. Critics argue that these programs may not provide enough support to those in need, leaving them vulnerable.