There have been issues in the past with Cloudflare and Tor, but I don't know what the current status of that is. Certainly they aren't blocking everybody, or we wouldn't see them.
The one thing HN itself does is moderate comments from brand new accounts that are posted using Tor. We do this because of past abuses by trolls. However, when such comments are good they routinely get restored by users using the 'vouch' feature, or, failing that, we often restore them ourselves. So even this isn't much of a restriction. The main problem is that it makes for a time delay between when a (good) comment gets posted and when other users get to see it.