Doppler shift in a vacuum depends on the reference frame that you choose and is not a property of the object that exhibits it. This also applies to light wavelengths. Colors are affected by relative motion. Welcome to relativity.
Example:
John: "Why Greg, you're looking particularly blue today!"
Greg: "Thanks dude, but it's not the pandemic. I'm just moving very fast towards you. Like impossibly fast. We must be in a meme or a stupid example someone is writing!"
John: "Ah, now that you've stopped you're back to your normal self. Weird."
Greg: "I wonder if I..."
John: "Yes, you've turned all red now, running away from me like I'm the new plague. What's up with that?"
Greg: "Einstein, man. The world was simple before he went and ruined it all!"
P.S.: Replace blue with green and red with orange if you want Greg to be half the speedy ahole he currently is.
Post edited April 19, 2021 by WinterSnowfall