The extension captures the content of the opened tabs, it does not create new requests. If you open both, it captures both.

You may be the first "search engine" capable of indexing instagram and other closed sites.

Exactly, this is the biggest advantage of the extension. It is fully invisible for the websites, so no captcha, anti-bot protection, no authentication issues, every common bottleneck of a classic crawler is solved by the browser/user.

Oh, I haven't considered the possibility of indexing things like Instagram or Discord with this. I am now much more interested than before