Hi mapozyan -- thank you for replying.
It's completely possible that my use case is way too niche to be worth agonising over. I'll give a quick rundown anyway, just in case:
The multiline search(es) I perform include HTML tags. For instance, there's a common formatting error on AO3 which places each <em> tag in its own separate line, resulting in faulty-looking punctuation around italicised text. If I could search my library for such occurences, I'd be able look into fixing the affected files without checking all of my epubs by hand, one by one.
Unless Power Search does not look for HTML tags at all? I thought it did, but if that's not the case, please disregard my request.