Yes, absolutely right. The sun bends light due to it's gravitational pull (which Flat-Earthers claim doesn't exist). But here's the thing, light travels faster than most objects in the universe (Those that aren't slower, are the same speed - gravitons for instance). The faster you are moving, the harder it is to turn (that's why we slow down at corners when driving) At the speed of light, bending of the path is very minimal, and from our position on earth, the effect is only visible when staring straight at the edge of the Sun (through a polarised telescope, since you can't see much when staring at the Sun).
The picture, thankfully, cleared up absolutely nothing. It doesn't make any sense. The only thing that would cause curvature of light as you have described around earth, is Earth's gravitational pull (which doesn't exist) and even then, the pull has to rival the Sun's to make any noticable effect. Which would also affect us, by crushing us under the brute force of air.