In order to see the whole sun, each light ray would have to come out of the sun at a slightly different angle. The angle between the extreme "edges" of the sun entering your eyes gives you information about its size and shape.
I believe Parsifal has answered the question about the curvature. The short answer is yes, in the same way that a parabola curves at a steady rate.
I really hate my internet. (failed to post my reply)
How I understand Bendy Light: Light follows a parabola. The parabola is always oriented the same way. So, light originating on the side of the Sun starts at the bottom of the dip in the parabola. Light from the bottom of the Sun starts in a steep part.
I might make a diagram of this.
I didn't create the intersecting light argument, so I may have misunderstood it. I haven't really seen anyone try to disprove it beyond saying "it won't happen." But, I think it won't happen from the insight provided by this discussion.
I just thought of a really good question, though, so I am going to make a thread in
Q&C.
I think its better suited to D&D.Also, I just realized I copied my post in case the internet failed, so it was on my clipboard and I didn't have to type that.