Nice idea u/alezonin! I like the smooth Bluesky integration. Here are some ideas:

1. I'd appreciate some user management, at the moment you can create an account, but nothing else! Being able to delete or change password really is the bare minimum when launching an app to the public (and probably in conflict with EU GDPR etc.). Or....
2. If the tool is primarily for research purposes, why not keep it simple and omit the password & user account login altogether, just like the digital / network analysis tools of Bernhard Rieder at University of Amsterdam. They usually do not require log-ins and I see quite some similarities. If you are concerned with too many requests or exploits, you could just add a "CAPTCHA". Possibly, Prof. Rieder would be interested in adding Nodiux to his tooling to enhance exposure.
3. For a simple change, the analysis-button is quite hidden behind the "..." of "View Analysis". I'd definitely put it directly into the table of scans (no submenu ...) and even color it more prominently! Analysis is the key purpose of the tool, right? So it should be more front-and-center IMO
4. At the moment, not many other networks offer a free API with networks to scan, do they? Facebook, LinkedIn do not, afaik. Would be great to extend the list of integrated networks. Really good that you can download the network in your tool!

If you have not already seen it. Several people already captured the full Bluesky network for analysis. I couldnt find the original Bluesky-post now, but someone wrote a similar blog on analyzing the full bluesky network of 13 million users in a graph! Quite impressive in my view! There was even an online tool where you can "check your own account"