I'm sorry for all the pains you have been through.
Yes, people assume things based on how you express yourself, and what you choose to mention or not. This is normal. Especially when you leave room for ambiguity. What the other person gets from your words is the words themselves plus their own baggage and assumptions. This feature of language is a lot of the problem, and why I would encourage people to take pains to be more clear with their words.
I'm not really trying to argue with you. I'm trying to give you a perspective that I think you should consider, but instead what you do is react, if not overreact, to each piece of information. I don't want you to agree, all I want is that you maybe understand, and accept that people who are different to you might see everything, including your words, differently, and that you might want to accommodate those people even though they are "wrong" in your view.
By oversimplifying, I mean simplifying so much that essential steps are omitted, thus the simplification becomes untrue.
I'm not, of course, saying that choice and resolve are not important parts of change. Just that people who currently don't have the resolve to follow through on what they need to do, and can't see all the reasons, need to know that that is a part of what depression feels like. And they are not to blame for having nothing in the tank right then. You need choice, motivation, determination/trying hard and opportunity - either some spiritual fuel, a break in the fog, a close call that scares you, maybe the right medication or therapy, or just random luck, whatever it is that gives you a foothold and a little bit of light. You need to know that this opportunity is coming, eventually, and you can get yourself out. That clear moment in time you talk about can't be forced through deciding things.
Anyhoo, I hope I have managed to be clear enough about why I think your post is not effective as advice, and potentially harmful. I think Andy Richter does a decent job of tweeting about depression in this thread: https://twitter.com/andyrichter/status/931546890901925888
And I actually see a lot of writing that is brief but still strikes me as effective. Brevity itself is not your obstacle. You might just have a really strong conviction that you know best.