How can galaxies appear circular when one edge is closer to our point of view than another?

Sorry if I am wording my question poorly, but I imagine a scenario like this.

Imagine taking a plate and holding it out at arms length, and holding it so its perfectly circular to your perspective. Now angle that plate, so the bottom of the plate is closer to your face than the top is. Now spin that plate counter-clockwise, and make that plate 300,000 light-years across.

Depending on the angle the top of the plate, and the bottom of the plate could be hundreds of thousands of light-years closer to us than the top. In this scenario, the left side of the galaxy is accelerating towards us, so that information from those stars like their positioning would be more up-to-date over time and the right side away from us, meaning its updating slower over time.

Is it just due to the galaxy forming from the center, and the grand scale of time and space? I just don't fully grasp the concept.