Azure Functions can now reuse state between function calls by utilizing static members, and the use of Lazy Initialization with `Lazy<T>` provides a thread-safe solution to this issue. The key takeaway is that while using a static member may not be suitable for all scenarios due to potential issues with object persistence, it can be used effectively when combined with lazy initialization techniques like `Lazy<T>`. This approach allows developers to save state between function calls without incurring the overhead of reinitializing expensive operations such as creating a Couchbase cluster.