I’ve been disabling comments on the “pages”. Regrettably, there seems to be no global setting for this, so they have to be manually disabled for each such page. Obviously, we want to allow comments on Posts (in general), but I think not on Pages.
Also, I’m disappointed that the post lists (like on the category pages) don’t show that there are comments on a post. Don’t know if there’s any way to change that, but I didn’t find one during my first round of looking.