First of all, our current enforced policy is to not include spoilers for any releases. However, this only extends to question titles, since these are unavoidable. A question body will naturally talk about a film's content and hiding entire swathes of the question's very essence is completely counter to the knowledge-driven philosophy that is the very foundation of this site. You can use spoiler blocks in the question body if you don't use them excessively and your question still makes sense without everything that's hidden behind a spoiler block. If that is not the case, don't be too surprised if they get removed for the sake of readability.
With this out of the way, let's get to the matter of the HNQ. Since spoilers are actively removed from question titles, this alleviates much of the problems of spoilers possibly appearing in that list. I acknowledge that questions might not always start out with spoiler-free titles and it can take a few minutes for our helpful editors to fix them. Unfortunately, a question can get hot quite fast and there's not (yet) a delay for new questions built into the hotness algorithm. However, the title should get fixed eventually. If you can't edit the question title yourself because, e.g. you haven't seen the movie and are afraid to stay on the question for much longer, you can also flag it for moderator attention. But more often than not, other users will likely see and fix it beforehand anyway.
Another problem might be that people don't know the question is about a new release. That's another reason why it's important not to create nonsense titles like "why did this character do that?", which help noone. In general, film titles in question titles are not really necessary, but they aren't prohibited either if they don't hinder reading flow. I left, e.g. the word Endgame in some of the recent titles so people know what the question is about. But if you click on a question that's obviously about Captain America when you're trying to avoid spoilers for Endgame, not even the Infinity Gauntlet can help you anymore. We cannot and will not protect users from their own curiosity. If you want to know something, please don't complain afterwards that you...learned something.
As to removing the entire site from the HNQ, I'm afraid that's not going to happen. We will not remove the site for everyone just because some users are unable to control their own curiosity, that's not too far from downright disallowing the very topic itself. You can, however control the visibility of the HNQ list for yourself, by a corresponding setting in your user profile. If you want to go that far for avoiding spoilers is your own decision, though.
