Just collecting information. What is your understanding of "the remnant of Israel"?
I look at the house of Jacob as all of Israel, 12 tribes, for all 12 tribes came from his sons.
A remnant means that they will be few in number at the time God brings the Hebrews back to Israel.
A few in number compared to how big they were before that time.
Act 1:6 When they therefore were come together, they asked of him, saying, Lord, wilt thou at this time restore again the kingdom to Israel?
Act 1:7 And he said unto them, It is not for you to know the times or the seasons, which the Father hath put in his own power.
The disciples did not ask if Jesus would restore the kingdom to a remnant but to Israel as a whole nation.
Eze 39:25 Therefore thus saith the Lord GOD; Now will I bring again the captivity of Jacob, and have mercy upon the whole house of Israel, and will be jealous for my holy name;
Eze 39:26 After that they have borne their shame, and all their trespasses whereby they have trespassed against me, when they dwelt safely in their land, and none made them afraid.
Eze 39:27 When I have brought them again from the people, and gathered them out of their enemies' lands, and am sanctified in them in the sight of many nations;
Eze 39:28 Then shall they know that I am the LORD their God, which caused them to be led into captivity among the heathen: but I have gathered them unto their own land, and have left none of them any more there.
Eze 39:29 Neither will I hide my face any more from them: for I have poured out my spirit upon the house of Israel, saith the Lord GOD.
God will bring the whole house of Israel back to their land and leave none of the Hebrews left in the nations and they shall know the Lord their God from that time forward and He will never hide His face from them anymore which they will always be in the truth from that time forward.
Which the New Age Christ will establish peace in the Middle East and it will pave the way for all Hebrews to go back to Israel for the Gentile nations will cause it to happen.
When the Bible says Jacob it means all of Israel, 12 tribes, not only the elect Hebrews.
The Bible says Israel is blinded in part right now but all Israel shall be saved because when God brings them back to their land He will turn them to the truth so they will all become elect.
Eze 37:4 Again he said unto me, Prophesy upon these bones, and say unto them, O ye dry bones, hear the word of the LORD.
Eze 37:5 Thus saith the Lord GOD unto these bones; Behold, I will cause breath to enter into you, and ye shall live.
Eze 37:11 Then he said unto me, Son of man, these bones are the whole house of Israel: behold, they say, Our bones are dried, and our hope is lost: we are cut off for our parts.
Eze 37:12 Therefore prophesy and say unto them, Thus saith the Lord GOD; Behold, O my people, I will open your graves, and cause you to come up out of your graves, and bring you into the land of Israel.
Eze 37:15 The word of the LORD came again unto me, saying,
Eze 37:16 Moreover, thou son of man, take thee one stick, and write upon it, For Judah, and for the children of Israel his companions: then take another stick, and write upon it, For Joseph, the stick of Ephraim, and for all the house of Israel his companions:
Eze 37:17 And join them one to another into one stick; and they shall become one in thine hand.
Eze 37:18 And when the children of thy people shall speak unto thee, saying, Wilt thou not shew us what thou meanest by these?
God shall cause all the Hebrews to become elect when He brings them back to their land and turns them to the truth.
I look at Jacob as all 12 tribes regardless if they are in the truth or not and a remnant that they are few in number that includes all of the Hebrews whether in the truth or not for God will bring them to the truth so they will elect for all Israel shall be saved.