Call it what you want, it’s still absolutely false.
The Jeremiah 31 new covenant that Jesus brought us, is with the HOUSE of Israel and HOUSE of Judah, not with the church.
The church has no covenant whatsoever. The Jewish Messiah mediates the Jewish new covenant, and salvation only came to gentiles to make Israel jealous - and the gentile church has to be grafted in to that Jewish covenant by faith - all per Romans 11.
Not true gentiles are saved because God wants all people to be saved
1 Timothy 2:1-7
2 I urge, then, first of all, that petitions, prayers, intercession and thanksgiving be made for all people— 2 for kings and all those in authority, that we may live peaceful and quiet lives in all godliness and holiness. 3 This is good, and pleases God our Savior, 4 who wants all people to be saved and to come to a knowledge of the truth. 5 For there is one God and one mediator between God and mankind, the man Christ Jesus, 6 who gave himself as a ransom for all people. This has now been witnessed to at the proper time. 7 And for this purpose I was appointed a herald and an apostle—I am telling the truth, I am not lying—and a true and faithful teacher of the Gentiles.
By your line of though how would you place Seth,Enoch, Noah, Abraham and Isaac?