Structs and Anonymous backing fields

I got this error today

Backing field for automatically implemented property must be fully assigned before control is returned to the caller.

I found a strange thing out today in connection with Structs and anonymous fields. I wanted something simple like

public struct Person
{
    public String FirstName { get; set; }
    public String LastName { get; set; }
    public Int16 Age { get; set; }

    public Person(String firstName, String lastName, Int16 age)
    {
        FirstName = firstName;
        LastName = lastName;
        Age = age;
    }
}

well that won’t compile as you will need to initialise all of the fields, so you have to do this – notice the call to the default constructor.

public struct Person
{
    public String FirstName { get; set; }
    public String LastName { get; set; }
    public Int16 Age { get; set; }

    public Person(String firstName, String lastName, Int16 age): this()
    {
        FirstName = firstName;
        LastName = lastName;
        Age = age;
    }
}

Maybe the compiler should not allow anonymous fields in structs?