Yes, there would be some distortion, but not enough to make a visible difference. Let's do a rough calculation.
Assume the galactic disc has a diameter of $100,000$ LY, and we are viewing it from a point $50,000$ LY directly above the galactic centre, so the galaxy has an angular diameter of $90°$. The distance from the edge is $\sqrt2×50,000 \approx 70,710$ LY, so the image of the edge is lagging the image of the centre by almost $21,000$ years.
However, that's not much time compared to the time it takes the galaxy to rotate. Galaxy rotation is rather complicated, but roughly speaking, the inner part of a spiral galaxy rotates much like a solid disc, with a constant angular speed, so the rotation speed at a given radius is approximately proportional to the radius. The outer parts tend to rotate at a roughly constant linear speed. Wikipedia has some details for the Milky Way, including this graph:

Galaxy rotation curve for the Milky Way – vertical axis is speed of rotation about the galactic center; horizontal axis is distance from the galactic center in kpcs; the sun is marked with a yellow ball; the observed curve of speed of rotation is blue; the predicted curve based upon stellar mass and gas in the Milky Way is red; scatter in observations roughly indicated by gray bars, the difference is due to dark matter
Our Solar System, at a radius of roughly $27,000$ LY from the galactic centre, takes around $225-250$ million years to orbit the galaxy, and the outer parts of the galaxy rotate at roughly the same speed. So we can expect stars at $50,000$ LY to have a rotation period around $420-460$ million years.
So that $21,000$ year time lag we calculated earlier corresponds to only about 1 arc-minute ($\frac1{60}$ of a degree) of rotation. I don't think that's very noticeable. ;)