KChen986,
In your diagram you represent the iron sights as a single object. In fact, they are two objects that must be precisely aligned.
Geometry teaches us that there is only one straight line that goes through two points.
Proper sight alignment actually means that there are 3 objects aligned. The shooter's eye, the rear sight and the front sight. Combine that with what we know from geometry and it drives us to the conclusion that there can't be more than a single viewpoint through a single set of properly aligned iron sights.
If the shooter's eye isn't on the same line as the front and rear sights then the sights will appear to be misaligned to the shooter and he will have to move his eye or the gun to put the sights into alignment--eliminating any possibility of parallax at the same time.
While the sights are misaligned the shooter could experience parallax in terms of where the front sight is superimposed on the target, but once the sights are aligned to the shooter's view then there is no parallax because his eye is in proper alignment to view the sights without parallax. Parallax is, in one sense, a function of the viewer's misalignment with the objects being observed and iron sights force the shooter to put his eye in the proper position to eliminate any viewer misalignment. Iron sights, when properly aligned, can not suffer from parallax.
With the sights properly aligned the shooter's eye is also in line and all that remains is to adjust the gun and shooter position to get the front sight where it belongs on the target.
That said, sufficient play in the receiver could force the shooter to slightly adjust his eye/head position for each shot as the upper moves in relation to the stock cheekweld. That wouldn't be helpful to consistency which ultimately amounts to accuracy.