Whose editor are you talking about? One WWDIY save editor I know supports Wii version too.
https://gbatemp.net/threads/warioware-d-i-y-editor.346953/
^The author's thread

 

You're using Dolphin? Than things are a bit easier for you.
Go to the NAND path of your Dolphin emulator (a folder named Wii), go to Wii/titles/00010001/574134xx/data, and you will find the MDATA, GDATA and RDATA files.
Extract the games/records/comics from them and inject to a WWDIY DS save file.
(xx can be 45, 50 or 4a depending the version of WWDIY showcase you're using)

 

Sorry, my bad. I read your last post as "how to EXPORT from dolphin".
But if you were to inject games to your Dolphin save, it's the same steps with finding the files and locating them, and there will be an option to inject the games. (GDATA for games specially)

 

The error is currently inevitable but the games should be saved. Try doing it again after backing up your original save and ignoring the warning.

 

This is the current version:
https://gbatemp.net/threads/warioware-d-i-y-editor.346953/page-4#post-5613741

It should be able to handle the saves directly from dolphin and also supports the saves that the Wii creates when copying the save to the SD card.