It's all about getting TikTok to run in the sidebar:

- tiktok.com / tiktokv.com: TikTok normally won't let itself load inside another page, so the extension strips those blocking headers. It also keeps you logged in and runs the banner-hider and autoscroll scripts. tiktokv.com is where TikTok serves its videos from.
- apple.com / play.google.com: after a few videos TikTok tries to push you to the App Store or Google Play, and that breaks the sidebar. The extension blocks that jump and reloads the feed. Firefox requires permission for a site before an extension can block requests to it, which is why those show up. Nothing gets read from them.

No data goes anywhere, so the "no data collection" line is true.