Ah, never mind. I think I didn’t know what I didn’t know.
Specifically, how the palette works in Aseprite. I found a video by Watt on YouTube (https://www.youtube.com/watch?v=hISJ2uflVCg) that explained a lot of what I didn’t understand.
I still need to look at how to better control the remap tool or just practice saving, editing, and loading the new palette.