Short answer: TikTok's own "Save video" option (when you've allowed downloads on your account) still burns in the watermark and your username. If you want a clean master of your own upload to reuse elsewhere, use this extension's Download No Watermark button on your own video's page instead.
If you've turned on "Allow downloads" for your account, other people (and you) can save your videos directly through the app. It's convenient, but the file you get always has TikTok's logo and your handle stamped into the corners — fine for reposting on TikTok itself, not so fine if you want to:
You made the video — you shouldn't have to accept a degraded copy of it.
This works the same whether the video is yours or not, technically — but this guide is specifically about your own catalog. If you're saving someone else's video, see the note on respecting creators' rights below.
This extension doesn't verify ownership — that's on you. Use Download No Watermark on your own videos, or ones you have explicit permission to re-use. Downloading and reposting someone else's TikTok as if it were your own isn't okay, watermark removed or not.
The same popup has an Audio Only option — handy if you're pulling a voiceover or an original sound you recorded to reuse in another edit.
There's no batch mode — each video is downloaded individually from its own page. For backing up a whole profile's worth of content, that means working through them one at a time.