Good news and bad news.
Good news: I can reproduce the problem!
Bad news: It happens with every Airdropped backup file no matter the size.
Workaround: After airdropping it to the target device. Switch to the Files app on the target device and rename the file. Once renamed you can successfully restore the backup.
Explanation
This bug was created when adding the functionality that each audio file opened or Airdropped to Stage Traxx will automatically be analyzed and added as a song to the database. I forgot to do this only with audio files. It is done with every file type that Stage Traxx can open. Now this file is registered as a song and when you restore a full backup all songs (and their audio files) are deleted before restoring the backup contents. This also deletes the backup file you want to restore. Therefore the file not found error.
I will fix it right away and release another update later this week.