Thanks — this is a very clear statement of your position, and it helps isolate where we disagree.
I agree that perception is causally mediated and temporally downstream, and that in cases like astronomy our perceptual access depends on events in the past. I also agree that if objects are individuated strictly as momentary temporal instantiations, then the Sun-at-t is not identical to the Sun-at-t–8 minutes, and that no relation can obtain to what does not exist.
Where I disagree is with the inference you draw from this. I do not take the objects of perception to be momentary temporal stages. On my view, mind-external objects are temporally extended continuants that persist through change. The fact that the Sun is continually changing does not entail that it is a numerically different object at each instant in the sense required to break perceptual reference.
I also reject the claim that temporal mediation entails that the object of perception must be a present mental item. The causal chain explains how perception occurs, not what perception is of. That the light emitted earlier makes perception possible does not entail that what is perceived is a memory, an illusion, or an inner surrogate. It shows only that perceptual access is finite and temporally indexed.
This is why I think the Caesar and crime-scene analogies mislead. We deny direct knowledge of Caesar not because he is in the past, but because our access is symbolic, testimonial, and inferential. By contrast, perceptual access to the Sun or a ship is sensory and causal, not mediated by beliefs or descriptions. Temporal distance alone does not make knowledge indirect; mode of access does.
Finally, I think your conclusion overgeneralizes in a way that undermines Indirect Realism itself. If temporal mediation and non-simultaneity were sufficient to make perception indirect, then all perception would be indirect — not only perception of mind-external objects, but even the perception of mental images or sense-data, since those too are causally and temporally mediated. In that case, perception itself could never get off the ground, because every purported object of awareness would require a further epistemic intermediary, generating an infinite regress.
So while I agree that a relation cannot obtain to a non-existent object as such, I deny that this forces the conclusion that the object of perception must be a present mental item. The disagreement now seems to be about ontology — whether objects are momentary temporal stages or persisting continuants — rather than about logic or semantics.