So even though human minds are capable of and are constantly misunderstanding, their diverse core prioris are all true, yet different?
I don't agree with your assessment.
Do you have a question for me? If so, what is it?
--------
What do you mean exactly by core a priori?
Core as in, whatever your ego happens to excuse itself with?
Because I would say a core a priori is always a positive statement and is only a shield in as much as it outshines the darkness; not because it vanquishes darkness, but that it is obviously to be preferred to the darkness (the darkness of not understanding). Sadly most of the time people do instinctively feel what would be preferable, but they just can't lighten their load and discard their "manufactured a priori" (which the Hari Khrishna's call the "not self") themselves and allow themselves to enjoy the light;- because they have beliefs that don't allow this [beliefs that cause them to love the darkness over sacrificing (the ego) to obtain forgiveness] (the Scientologist's call these things "locks"). I would say the core a priori is the same for everyone: the question is; how much programming is it underneath. Some of it your born into, the zeitgeist, but when the programming includes a working model of vanity that you employ in your dealings with other humans; then you become a willful sinner, who in a space of a few years (or less) will even have forgotten the 'persona' game you started playing.
---------------------
In conclusion:
So basically I can agree with most of what you have said, just excluding the question of: 'yet different'...
they aren't different, they are just independent when judged from the objective manner of speaking: subjectively speaking we are linked, because that
a priori which subsists in each of us is the same. (I think it was Aristotle that said, that learnt truth is a matter of recollection)
This can be understood through the scripture also by:
God lives in all of us (independently) [or put another way: God lives inside of each of us], yet we all have a shared living inside of God.
Joh_14:10 Believest thou not that I am in the Father, and the Father in me? the words that I speak unto you I speak not of myself: but the Father that dwelleth in me, he doeth the works.
Joh_14:11 Believe me that I am in the Father, and the Father in me: or else believe me for the very works' sake.