Regardless of the wife’s Mechilah (forgiveness of obligation); if a guy does not actually work and does not actually learn he becomes Posul L’edus (invalid as a witness according to Jewish law).
The wife can always withdraw the Mechilah; and a Mechilah made under any deception is not a valid Mechilah.
Teaching women that a working boy is a second class Jew is deception. Jewish women have to know that for 3000 plus years that the Jewish norm is that men support their families.
The first and most important element of Kol Kevudah Bas Melech Penima is a husband fully supporting the family.