FYI, Our Lord most assuredly had Mary's sinless blood in His body. Mary's blood and Our Lord's blood flowed together in Her womb. So while you are right to say that Our Lord's blood was never tainted with the stain of sin, you neglect to admit just where His blood even came from, namely, His Immaculate Mother, who, along with St. Joseph, Her most chaste spouse, foster father of the son of God, are both in body and soul, already in heaven.