It pollutes everything in your life; you need to be suspicious of everyone and everything.
The other thing about a constant series of attacks -- without support to field them -- is that you DO misidentify things, and sometimes respond imperfectly. There are 24 hours in a day. Sometimes you'll miss something, and other times, you'll overreact, or just react inappropriately.
Talk to anyone with a stalker.
Now imagine that stalker has a billion dollar war chest, and can hire a PI to trail you on a whim, corrupt government officials, or wield more-or-less infinite resources compared to you.
In terms of weird beliefs, we all got 'em. The difference is mostly with regards to whether others find out about them.
I haven't been in the same position as Elbakyan, but I've been in a sufficiently analogous one that I don't see what she's doing as anything other than human.
One of the things that publishers have started doing of late is just linking the "pdf" button to things that are not pdfs. I have legal access to basically every journal article I could ever want, but sci-hub provides a much better product: you actually just get the pdf with one button, and no telemetry crap either.
There's even an awesome grease/tampermonkey script to provide (small, inobtrusive) inline links to sci-hub here: https://greasyfork.org/en/scripts/370246-sci-hub-button.
She really is a saint. I hope we realise that....