Here are the figures by group in Israel [1]:
- As of 2022, the fertility rates in Israeli cities dominated by specific demographic groups were: Haredi 6.1, Bedouin 4.4, Jewish non-Haredi 2.4, Arab 2.2, Druze 1.8
So the GP's characterization is correct.
Yes, non-Haredi Jewish Israelis have a higher fertility rate than in Western nations. There seems to be a variety of reasons for this including cultural/religious pressure, institutional support and selection bias (in terms of who chooses to immigrate/emigrate).
The OPs (incorrect in this very minor detail) point was that fertility is below replacement everywhere except Israel, where the only reason it wasn't below replacement was Orthodox religious members of society. That's just wrong. Fertility in Israel, across every single group except for one in your own data, is above replacement. Orthodox are the highest, and bringing the overall number up, but if you removed them, fertility in Israel would still be comfortably above replacement.
So no, their characterization was not correct, since the point was that, absent a particular group, fertility would be, like in almost every other OECD (and many non OECD) countries, below replacement.