'Parse' is the step where MIXO reads the file that you are importing whereas 'Saving' is the step that actually starts to import the tracks from the selected lists in the popup.

Did it import the playlist correctly after you selected it and complete the import process? Or did everything go back to 'Ready...'?

I can see how switching views before you have actually clicked Add Tracks could be confusing though. I've created an idea for this:

https://support.mixo.dj/t/2082-dont-parse-import-file-or-switch-views-to-progress-until-confirmed