But if we could manage to magically "freeze time" then we would find ourselves in one position in configuration space where the particle is unambiguously in one position

I would say that at a given time there exist complex numbers or arrows attached to different points or positions. But I take it you want to identify yourself with a single point in configuration space at time t, or a timeline connecting such points?

Then your account seems correct for the Double Slit -- though vague, as prase says -- but probably wrong for the cat. It might "move from alive to dead", but it shouldn't go the other way. No definite "dead" configuration, assuming that phrase makes sense at all, should contribute to the amplitude of "alive" configurations in a meaningful way. (So, what prase said.)