@crazy_horse
The term “Neo-orthodox” refers to a movement of Christianity.
According to the Wikipedia page,
“Neo-orthodoxy strongly emphasises the revelation of God by God as the source of Christian doctrine.[4] This is in contrast to natural theology, whose proponents include Thomas Aquinas, who states that knowledge of God can be gained through a combination of observation of nature and human reason; the issue remains a controversial topic within some circles of Christianity to this day.”
In other words, It’s insisting that revelation (what we express as maamad har sinai and Kabolas Hatorah) is more important than “human reason” and philosophizing.
As applied to Judaism, it would seem to be the approach of Rav Hirsch against that of (lehavdil) Moses mendelsohn.
And today, it would be those who follow “traditional Orthodox Judaism” vs the “Rational orthodox” or the “Open Orthodox.”
As Rabbi J.B. Soloveitchik zatza”l expressed numerous times, Judaism requires surrendering to Hashem- to recognize that our thoughts and desires count only up to a certain point, but ultimately must give way to the Truth as revealed by Hashem.
So both Modern Orthodox (as expressed through talmidim of Rav J.B. like Rav Willig shlita and others) and “Chareidi Orthodox” are both examples of Neo-Orthodoxy, regardless of the specific positions of “being frummer than previous generations.”
It seems like you are taking the concept of Neo-Orthodoxy but redefining the term. I’m not sure what you gain by doing so; if anything, it would seem to add confusion.
Perhaps keep the term according to the original meaning, and create a new term for the situation you are describing?