YYBC – I disagree with your definition of frum.
Frum is simply “Someone who believes in HKBH and the 13 Ikkrim, and tries to fulfill the dictum of Torah”.
I am not sure what you mean by ‘believes in the sanctity of Torah & Mitzvos over anything else”. And ‘believing in the worthiness of our gedolim’ is not a prerequisite to being Frum at all. At best, it is simply something a Yid must do (equal to shaking lulav and eating Matzah, which doesn’t come under a separate category in the Frum Definition), at worst totally unnecessary.