Why Aren't Galaxies Skewed Despite Vast Distances in Light Travel?

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Galaxies appear uniform despite vast distances in light travel because their movement over time is minimal compared to the time it takes for light to travel across them. The dynamical time of an average galaxy is approximately 200 million years, significantly longer than the light crossing time of 100,000 years. This means that the positions of stars and structures within a galaxy remain relatively stable during the time it takes for light to reach us. Consequently, the light from different parts of a galaxy does not result in noticeable skewing. The stability of galaxies over these timescales explains their consistent appearance across vast distances.
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If the light viewed through a telescope from one end of a specific galaxy takes, say, 100,000 years longer to travel to the eyepiece than the light at the closer end of the said galaxy, why isn't it skewed? Same goes with everything in the cosmos, why isn't more skewed the further back we look?

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A galaxy doesn't move very far in only 100,000 years.
 
To be a little more precise: an average galaxy has a dynamical time (the time scale on which it rotates, moves, changes appearance, etc.) of about 200 million years, so a bout a 1000 times longer than the light crossing time for the same object.
 

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