Well, the previous question on a better way to contact moderators, An @Moderators ping got a big vote of no confidence. But we've been trying to address the perception among new users that our site (and other SEs) are unwelcoming – "rude" is a word often used.
A relevant quote many of our users agree on: "The process by which one can contact a moderator has significant amounts of mystery."
Sure, new users should have perfect mastery of the help center and go root through meta and somehow know about the various chat rooms – but we're not talking about a problem with experienced users; it's with new users who don't have much chance of knowing about most of that. We value the "improving" nature of SE – putting bad questions on hold, workshopping them, etc. – but it is obviously hard on new users and many of them find themselves at a loss as to what to do/where to go. Chat is, frankly, often even worse; the lack of good moderation tools there generally makes it just a place to "take the argument to" and argue some more, escalating rather than de-escalating the situation.
I understand that a custom flag is "supposed to be" the path to that. But that's very unclear to a new user. (Actually, they tend to assume that anyone hassling them over their question quality must be one of the mods.)
We get pulled into it sooner or later; I'd rather it be by some kind of "need help" button than when there's a bunch of angry folks, and someone's already deleted all their content from the site, and a big mess is already well in progress.
It could use the flagging system, but just be more obvious visually. A button, a dropdown option under help... "Get Help" or "Contact a Moderator" or something similar.
(It actually wouldn't hurt to have some more contextual help too; if someone's looking for help on their closed question, surfacing relevant help center/meta stuff to them based on that context would be good – we don't have edit access to most of the help center, and newbies don't always find it intuitive where to get info.)