The docs does a great job of comparing the two: https://mise.jdx.dev/dev-tools/comparison-to-asdf.html

Personally I didn't care about shims or performance. I find the asdf commands to be difficult to remember because they are unintuitive. See the "UX" section of the link above.

Thanks I didn't see that before!

  you can't use latest:20 in a .tool-versions file or many other places

This has always bugged me in asdf where I just want to say something like python:3.11.* where I don't care about the patch version number just that some 3.11 version is used.