You’re still mixing Jews and Christians .. and they are two different groups of people; not two different houses made up of Jewish people.
Remember, the Bible is progressive revelation. Adam and Eve didn’t know very much about God. We, on the otherhand, know a great deal more. What Bosworth knew in 1930 is nothing compared to what preachers know and understand about the Bible today, and how the Blood of Jesus was the sacrifice for all our sins.
I spend most of my time in the NT .. maybe that’s the problem. I’m more concerned with learning what Jesus blood bought for me and my life .. and how knowing that can change my whole life and that of my family.
Maybe it’s important to you to know there was a House of Israel and a House of Judah, but I really don’t see it’s relavence to how the Blood of Jesus washed away all our sins.
Sorry!