You just rejected the entire contextual development when you said "likely"! There is no "likely" here at all - zip, nada, zilch! You entered into eisgesis when you said "likely" - you have no contextual basis for "likely." Indeed, the context denies your "likely."
Romans 11:1 and 11:11 ask the same question about the same people and in context those same people are described as in a "stumbled" and "blinded" condition (vv. 7, 10, 11). Paul immediately denies there stumbled condition will continue to a fallen condition (v. 11). This is ETHNIC NATIONAL ISRAEL. This alone is sufficient to destroy your eisgetical conclusions. However, it is NOT ALONE. Paul continues to define God's purpose in allowing ETHNIC NATIONAL ISRAEL to enter into this "blinded" and "stumbled" condition and that is for the "salvation" of the Gentiles (v. 12) which Paul reaffrims after verse 25 again in verse 28. No other purpose is contextually provided other than this stated purpose.
Next, what has been blinded and presently in a "stumbled" but UNFALLEN condition is ETHNIC NATIONAL ISRAEL and Paul argues that they have been presently BROKEN OFF but not PERMENANTLY broken off as he continues to argue that what has been broken off can be grafted back in "AGAIN." Neither the "remnant" or gentile elect have been broken off in this passage.
In connection with grafting them back in "AGAIN" he argues this in the context of God breaking off the gentiles in the future and this is what brings us to verse 25.
1. They are PRESENTLY blinded and in a "stumbled" condition but not UTTERLY FALLEN out of God's redemptive program.
2. They are PRESENTLY so because of God's intent to bring salvation to the Gentiles.
3. Their PRESENT blinded and "stumbled" condition is not necessarily PERMENANT as God can graft them back in "again" and break off the Gentiles when they develop into the same condition that brought about the breaking off of Israel as a nation.
4. The complete and absolute denial that God is through with NATIONAL Israel in Rom. 11:1 with Rom. 11:11 is the theme dealt with in verses 25-28.
5. The Israel that is presently blinded cannot be the remnant which is presently being saved (v. 5) or the gentile elect who are presently being saved while Israel is presently "enemies of the gospel FOR YOUR SAKES."
This is so clear and so easy to see in the contextual development that only someone with a theological agenda armed with an eisgetical "likely" fails to see it. BTW I have five years classroom Greek, two years Hebrew and one year Latin.