Why Does a C# Async Method Return Before Its Work Is Finished?

I’m trying to understand what actually happens when an asynchronous method is called without await. In this small example, the message in Main can appear before SaveAsync finishes:

static async Task Main()
{
    SaveAsync(); // Starts the operation, but Main does not wait for it.
    Console.WriteLine("Main finished"); // This may print before SaveAsync completes.
}

static async Task SaveAsync()
{
    await Task.Delay(1000); // Simulates work that completes asynchronously.
    Console.WriteLine("Save finished"); // May run after Main has continued.
}

Is this simply a case of forgetting await, or are there situations where starting a task without waiting is intentional? I’m also unsure what happens to that unfinished work if the application exits.