That "textencoding" command is used for controlling what encoding is used for writting to Mp3 tags, which can also be changed from the Kid3 GUI (kid3.exe in Windows). Unfortunately I haven't found any command that changes the output text file's encoding.
I tried your command of
/U /c echo $regexp($regexp(%unsyncedlyrics%,^\w+||,),\r\n,##) > "%_folderpath%%_filename%.lrc"
and it produced lrc files with all Unicode characters becoming mojibake (Notepad++ says they're encoded in ANSI, using Notepad++'s "Encode in UTF-8" or "Convert to UTF-8" doesn't help either), the only lyrics that outputed normally are purely-English lyrics.
Also, when using the cmd.exe, is it possible to simply output a finished .txt/.lrc file with proper EOL characers? Because the manual text replacing part defeat the whole purpose of batch/automation (like I mentioned, I'm already able to export the lyrics one by one with Mp3tag's Export, but I need to do them in batch).
I also tried the more well-known FFmpeg, so far I'm able to use
-i "%_path%" -f ffmetadata "%_folderpath%\%_filename%.txt"
to export all the metadata, but I can't figure out how to export only the unsynced lyrics.