The application does not write automatically the lyrics in Apple Music.
Obviously the box is checked in Settings/Lab/Write Lyrics to iTunes/Automatically.
Then it has must be done manually: Lyrics/Write to iTunes
macOS 12.2.1
Apple Music 1.2.2.40
Lyrics GitHub Version 1.6.2-beta.1 (2348)
The application does not write automatically the lyrics in Apple Music. Obviously the box is checked in Settings/Lab/Write Lyrics to iTunes/Automatically.
Then it has must be done manually: Lyrics/Write to iTunes
macOS 12.2.1 Apple Music 1.2.2.40 Lyrics GitHub Version 1.6.2-beta.1 (2348)