I disagree, Wayne. The photo above works fine regardless of sensor size. The only thing sensor size would change is the field of view in the widest shot.
A larger sensor will require a shorter wide angle lens to fill that same larger frame you call "widest shot".
Yes, focal length change shows a different angle of view, but not at all equal to what this same lens would show on a different size sensor (if standing in same place).
FX absolutely will have about 150% the angle of view of DX (same lens, in same place). We call DX cropped and FX uncropped. This is the so-called DX equivalent focal length telephoto effect. I know you know all of this.
Yes, it would appear wider with a full frame sensor than with a cropped sensor of any type, but once that's established the comparison of the widest focal length to each subsequent would be the same. Original field of view is different, but the relative changes are equivalent.
Yes, "relative" does work, if meaning that (given one specific sensor size), the ratio of the focal lengths does determine the view size change, in direct proportion to focal length. A 100 mm lens will show twice the width and view of a 200 mm lens, on the same sensor. But on a sensor which is half size, the 200mm lens shows the same view and angle that the 100 mm shows on the twice larger sensor. If the larger is 35 mm film size, we call that Equivalent Focal Lengths.
So it depends on what you mean by the photo "works". It can show relative size, and we can draw these angles on any frame (which of course, drawing on the frame assumes the same sensor), but when we get into details about sensor size, we start having trouble with absolute sizes. Absolute size absolutely changes. And I would assume our only interest is a real world situation, at least about our own sensor size.
Angle of view does change with focal length, and it does also change with sensor size. DX crops it, FX does not, so to speak.
There is a diagram at bottom of my calculator page at
Field of View Calculator which should help show that idea.
And there are sample photos of the larger FX view relative to DX if with same lens at
Camera Sensor Crop Factor and Equivalent Lens Focal Length