A person standing at Cape Hope should, if the Earth is flat, see this constellation both due south and to the west while a person standing at Cape Horn would see it both south and again to the east. We know this to not be the case in reality.
You literally asked me is the Southern Cross to the south, and is it visible to people looking south.
This is what I said "Has anyone proved it is seen due south at the same locations at the same time?
I did not say is the Southern Cross to the south, and is it visible to people looking south?
I will say it in another way. Has anyone proved the person in Cape Hope has seen Sigma Octantis at the same time and location as a person at Cape hope?
This is your problem! You cannot understand the logical implication of your own statements!! Nothing I've written down has failed to capture the depths of your ignorance. The fact that you are, again, asking if two people have seen the Southern Cross to the south is proof that this topic is beyond your ability to fathom. That should frighten you! It should be absolutely terrifying that this amazingly simple idea escapes your faculties.
Here is the logical argument you need to deal with:
1. Sigma Octantis is a real constellation visible in the night sky in the southern hemisphere of planet Earth
2. Sigma Octantis is the polar star for the south pole, just as Polaris is the polar star for the north pole
3. If the Gleason map of Earth is correct, then the north pole is located at it's center and the Earth is flat
3.a. With 3, the south pole of the planet is not a single point but a continuous ring that extends around the entire fringe of the planet
3.b. with 3a, if the south pole is a ring, then Sigma Octantis must be able to appear in multiple locations at the same time due to the south pole no longer being a single location with an absolute cardinal direction relative to an observer's location on Earth
4. Sigma Octantis is not observed to be in multiple locations
4 contradicts 3b, therefore 3a must be false. If 3a is false then 3 is false. If 3 is false, the Earth is not flat, or more specifically, it isn't flat as presented in the Gleason map.
If the Gleason map is incorrect, then you need to present a version where the Sigma Octantis paradox cannot exist. I don't need to prove that two people have observed it; how you've presented the flat Earth creates the paradox.
Understand that the burden of proof is your responsibility, not mine. The world being flat isn't my idea, its yours. You need to prove it, not ask me to disprove it. This paradox is one of those hurdles you need to clear before folks on my side of the fence pay attention to this absurd notion.