It sounds like the advice given to avoid people 'emotional dumping', and yes, the words of someone who has grown up online, and is used to trigger warnings everywhere.
I can, though, see both sides. The way it's worded is twatty in the extreme, and it's not for her to tell other co-workers what to do, but I'd maybe be open to the idea that this is being talked about and is impacting more than you're aware of, so that she's hearing/seeing more than you realise and is struggling to cope with it, for whatever reason.
If that's the case, then it may be that she's using the tools and phrases she knows to speak up, perhaps without realising that they do sound ridiculous in a real world context.
There does come a point where a workplace should be a workplace and a colleague just that. I've been on the end of colleagues in various places overstepping boundaries to 'offload' massive amounts of stress, grief, mental health issues, which were far, far too much for the setting and the nature of the relationship. It can be very stressful, very quickly, and I have specifically seen that 'not, now here's when' advice given as a way to manage this, while still being supportive, although it's not something I ever used, as I did think it was a bit ridiculous.