I've seen this before many times. The surface of the earth appears curved when the earth horizon is in the lower 3rd of the frame. Every now and then the camera POV will dip down and the earth horizon suddenly completely flattens out. And the horizon even inverts the other way in a concave manner if the horizon line moves up to the top 3rd of the frame.
Are you sure you're seeing real curvature?
This one's pretty bad. If you look close you can see the fisheye distorting the landscape itself at the edges of the screen, but of course what gives it away is the fisheye curvature is seen in the very beginning when the balloon is still on the ground looking out at a parking lot.
Even aside from obvious fisheye lenses... at least some measure curvature is part of the nature of camera lenses generally.
Field Curvature, also known as “curvature of field” or “Petzval field curvature”, is a common optical problem that causes a flat object to appear sharp only in a certain part(s) of the frame, instead of being uniformly sharp across the frame. This happens due to the curved nature of optical elements, which project the image in a curved manner, rather than flat.
photographylife.com