arcobjects - Bug in F******** spatial relation? (I'm not cussing)

I would expect ISpatialFilter.SpatialRelDescription to behave consistently with IRelationalOperator.Relation. However, when I run the code below, I get:

    Total features : 44368
    Count1: 9 T********
    Count2: 9 T********
    Count1: 21 F********
    Count2: 44359 F********
    Count1: 1 ******F**
    Count2: 1 ******F**

Is this a bug in the F******** relation ?

private void TestSpatialFilter()
{
    IMxDocument mxdoc = ((IApplication)m_application).Document as IMxDocument;
    IFeatureLayer fLayer = mxdoc.FocusMap.get_Layer(0) as IFeatureLayer;
    IEnvelope env = ((IActiveView)mxdoc.FocusMap).Extent;
    env.Expand(0.5, 0.5, true);
    env.Project(((IGeoDataset)fLayer.FeatureClass).SpatialReference);
    Debug.Print("Total features : {0}", fLayer.FeatureClass.FeatureCount(null));
    IFeatureClass fc = fLayer.FeatureClass;

    string[] rels = { "T********", "F********", "******F**" };
    foreach (string rel in rels)
    {
        Debug.Print("Count1: {0} {1}", Count1(fc, env, rel), rel);
        Debug.Print("Count2: {0} {1}", Count2(fc, env, rel), rel);
    }
}

public static int Count1(IFeatureClass fc, IGeometry geom,  string relDescription)
{

    ISpatialFilter sf = new SpatialFilterClass();
    sf.SpatialRel = esriSpatialRelEnum.esriSpatialRelRelation;
    sf.SpatialRelDescription = relDescription;
    sf.Geometry = geom;
    int i = fc.FeatureCount(sf);
    Marshal.FinalReleaseComObject(sf);
    return i;
}
public static int Count2(IFeatureClass fc, IGeometry geom, string relDescription)
{

    int i = 0;
    string relation = String.Format("RELATE(G1,G2,'{0}')", relDescription);
    IRelationalOperator relOp = geom as IRelationalOperator;

    IFeatureCursor fCur = fc.Search(null, false);
    IFeature feat;
    while ((feat = fCur.NextFeature()) != null)
    {
        if(relOp.Relation(feat.Shape,relation))
            i++;

    }
    Marshal.FinalReleaseComObject(fCur);
    return i;
}

Answer

That does seem a bit odd. Perhaps it was only tested with few specific operations, Ex: Intersects, Disjoint, etc? What does FF*FF**** (inverse of T********) do for you? I seem to remember Within not working a few versions back so it does not surprise me.