A large API surface increases complexity and potential for error.
Exposing a large API surface in a class can make the system more complex and harder to maintain. Each public method increases the class's responsibilities and the potential for misuse. For example, if a 'Product' class in an e-commerce application exposes setters for every field, it may become difficult to maintain business rules or ensure data consistency, as clients could alter states without respecting intended constraints.
Additional Notes
What are the tradeoffs in exposing a large API surface?