If the logic block output face to north or south will have 1 tick delay, but face to west or east will not have delay.

That's because tile entities have a 'semi-random' ticking order in a chunk. Nothing I can do about

So, that say this is the games block update order caused this bug, so you can't solve it?

Indeed. If you're working on such per-tick precision then you cannot depend on ticking order.

Since it can''t resolved, then it will be available as a "feature" to inform the player.
"Face to North or South will delay 1 tick, Face to West or East will not delay."

It is not that strict. It happens to be that way for you but that may change depending on other tile entities (that are not even connected) in the same chunk or other criteria. It is defined so I can't tell the user what it will be

Closed in preference for #854