It's true that you can get angle variation with these jigs, but it's not what most people would think, and not what I used to think either. Namely, if you have an absolutely straight edge, there is no angle variation with a fixed angle system. It's very counterintuitive, but I've confirmed it via 3D modeling/simulation.
What throws you off is that you're thinking of it as a triangular arrangement formed by the plane of the apex, the pivot, and the contact point, whereas it's really just a 2D plane. I made the same mistake.
Where you do get variation is with curved blades. Namely, as the blade curves toward the center of the jig, the angle increases, and if it curves away from the jig, the angle decreases. In practice this usually works out pretty well, because drop point and clip point blades tend to get thicker towards the tip, so having a slightly steeper angle reduces the change in bevel width you'd get if the sharpening angle didn't get steeper.