Perhaps you work in an idiom that has no connection to the conventions of the notation system…?

So, for example, lots of pop/rock music gets notated rather arbitrarily in practice because it's mostly about the feel from recordings anyway. It's common in that world to see what classical convention would call incorrect notation. And since the core notes all work still and you can go by the feel from the sound you know, it doesn't really matter.

But the classical conventions include ideas that the subjective accents you describe are in fact implied by certain time-signatures.