XmlNullableConverter misses DataType attribute

[Backs]

public class FooNullableDateTime
{
    [System.Xml.Serialization.XmlElementAttribute("DateValue", DataType = "date")]
    public Nullable<DateTime> DateValue { get; set; }
}

[Test]
public void SerializeNullableDateTime()
{
    var value = new FooNullableDateTime
    {
        DateValue = new DateTime(2011, 11, 10),
    };
    
    var serializer = GetSerializer();
    var actual = serializer.ToXml(value);
    var expected =
        @"<fooNullableDateTime xmlns:xsi=""http://www.w3.org/2001/XMLSchema-instance""><DateValue>2011-11-10</DateValue></fooNullableDateTime>";

    Assert.That(actual, IsXml.Equals(expected).WithIgnoreDeclaration());
}

Result:

XML documents are Different.
  TextValue:
    Expected: 2011-11-10 at "/fooNullableDateTime/DateValue/text()" (1:87)
    Actual: 2011-11-10T00:00:00 at "/fooNullableDateTime/DateValue/text()" (1:126)

Serializer ignores DataType="date" value and serialize value as dateTime.

XmlNullableConverter contains this informaion in context:

But SerializeBody creates a new context with an empty XmlMember: