Renaming and moving .lrc files using the same pattern used for songs?

It works for CDG files.
[2020-11-22] NEW: CDG files are now renamed with corresponding FLAC files.

If you look at other threads in the forum that deal with lyrics in flac files then it always circles around embedding the lyrics.
And that works.
So it is up to your workflow to either keep the external files and loose the link occasionally or embed the data and get the full support in MP3tag.