When have you ever shown them to *stop* working at those scales, without relying on another factor? Do this and you have a case. Without it it's just your word, your 'what if' against the fact that it works properly at every testable distance. If you claim there's an exception to a rule it's on you to prove it, that's the burden of proof. Without first proving the Earth is flat, you cannot point to the sun or moon for evidence. If you have evidence somewhere else, let's see the math.
It's not a "what if." It's a "where's the evidence?" Elucid predicts that an overhead receding body will never reach the horizon. They will approach each other forever, slowing infinitely as they approach, and never touching. Where is the TEST of this assumption that the universe operates in this continuous manner? His theories about how things should behave at long distances are untested.
The 'approaching infinity' bit is irrelevant. We're dealing with known numbers that aren't anywhere near infinity. That's simply a red herring, some might even say a strawman. Let's lay this out.
The math works at any testable distance. For fun, let's say the distance is 3000 cm high, and 6000 cm away. What does the math tell me I should measure for angles? 26.565°. Does it turn out that way in reality? If I remember my math classes correctly, yes it does. Testable, provable. So why should it change if we just change things to km for distance, or meters, or miles? You're proclaiming the math that works fine at 3000 cm stops working at 3000 miles. But the math doesn't care about the units. They don't come into this at all.
This means you need to present actual evidence that your claim is true. Not this red herring of "Oh, he never proved his concept of infinity so obviously he's wrong when I need him to be!" That's not evidence. That's your stubborn belief in order to keep a FE alive.
Alternatively, light doesn't move in straight lines, or space is curved (resulting in light not moving in precisely straight lines but in a different manner). In which case you still need evidence that it does. That's how this works.
This is burden of proof. You claim something doesn't work at a certain distance, or under certain conditions, when it works fine in all testable/known ones. Fine. Claim it all you like. But no one will take your claim seriously unless you can prove it, without resorting to logical fallacies or deflection. Give us cold hard numbers and data. Images, experiments, you name it. Prove your hypothesis. Until then it's nothing but words and fantasy.