yt-dlp --write-subs --sub-lang "live_chat" on a Live stream is always Top Chat

[WillFa]

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Checklist

• I'm requesting a site-specific feature
• I've verified that I have updated yt-dlp to nightly or master (update instructions)
• I've checked that all provided URLs are playable in a browser with the same IP and same login details
• I've searched known issues and the bugtracker for similar issues including closed ones. DO NOT post duplicates
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Region

United States

Example URLs

https://Any.currently.Live.stream.on.Youtube.com/watch?v=aRealVidID

Provide a description that is worded well enough to be understood

Downloading the Live_Chat of a live, currently broadcasting stream is always "Top Chat".

In Youtube_live_chat.py, line 67 is the line of code to switch to the unfiltered "Live Chat" setting. The function that this line of code is in appears only on line 127 in a conditional OR that only ever gets called when retrieving the replay of a concluded broadcast.

Can "Live" Live Chats be made unfiltered as well, please?

https://github.com/yt-dlp/yt-dlp/blob/master/yt_dlp/downloader/youtube_live_chat.py#L67

Provide verbose output that clearly demonstrates the problem

• Run your yt-dlp command with -vU flag added (yt-dlp -vU <your command line>)
• If using API, add 'verbose': True to YoutubeDL params instead
• Copy the WHOLE output (starting with [debug] Command-line config) and insert it below

Complete Verbose Output

Plz no ban!  There is no relevant reproduction to be pasted here. This isn't relevant because the code analysis is listed above.