Answer

I don’t have a sweeping answer. Each matter has to be judged on its own merits. Each principle should be examined in terms of its logic and its source. Regarding some of them, I am not certain that their source is a tradition from Sinai, and therefore there is no obligation to accept them (but there is also no obligation not to accept them; rather, if they are not from Sinai, then they are not principles such that one who rejects them is deemed a heretic, as in the well-known gloss of the Raavad regarding corporeality).