On trigger warnings and coddling

I've heard some things about trigger warnings on college campuses lately, and I decided to put in my two cents on the matter. (This is your warning if things connected to triggers/ things that are potential triggers may be discussed here).
Firstly, let's define what a "trigger warning" is. According to dictionary.com, it is "a stated warning that the content of a text, video, etc., may upset or offend some people, especially those who have previously experienced a related trauma."
As I see it, the intended use of a trigger warning is just in the genre of "heads up, this is a thing that will be presented that may be problematic for some people." It's like how crime shows sometimes have a title card when they have reenactment in the next segment - "viewer discretion is advised." If you have had a particular experience that makes you particularly ill-disposed for that kind of content, it's a heads up that a particular kind of content will be featured.
Sometimes, college professors include trigger warnings where they're needed. Sometimes they don't. And whether they should has been a controversial topic for some.
Personally, I think that they should exist on the syllabus and that the professor should be available for for emails about missing class on a particular day. I get the feeling that many of those who need trigger warnings don't intentionally want a skip day from class; they probably just want permission to handle a potential problem in a personally safe space. If it's a movie, that might mean watching it on the student's own time and emailing comments to the professor, if that's part of the grade. Maybe that student does have some important and interesting thoughts about the particular content of that day's class, but doesn't feel totally comfortable sharing it in public.
To me, that's what trigger warnings are for - if it causes someone extreme emotional duress to interact with something in public, they should be allowed to handle it in private. They should not necessarily be exempt from interacting with the material (unless there are highly difficult circumstances associated with it). Light to moderate discomfort should be worked around in class - and trigger warnings provide a heads-up that light-to-moderate discomfort exists. It's supposed to be a heads-up, in case a student needs to emotionally/ psychologically prepare for a particular class beyond what they normally have to do.
What it does NOT mean is that everything should be warned as a trigger. If a student has some particular trigger material that isn't in the typical genre of "possibly triggering material," then part of the responsibility of both the student and the professor is to communicate about that. Not everything should be warned, but everyone should be open to compromise. If a student does get triggered by something that someone wouldn't think to warn people of, that would be a circumstance that needs communication between the professor and the student separately.

So those are my thoughts on triggers. What are yours?