Does "no worries" imply "don't you worry"?

I live in Australia, so saying and writing "no worries" became second nature to me^*. However, just the other day I read on this page that some people get annoyed by it, their argument going along these lines:

I believe it insinuates that I am a worrier when I am not […] [It’s] often used passive aggressively, as in: ‘I’m going to be a little late.’ ‘No worries!’ Wait, should I have been worried?

I got confused by that argument because I see "no worries" the same way I see "no problem", which is:

1. There is no worry (problem) involved in this situation. / This is a worry-free situation.

Thus, I understand "worries" like a noun, not implying a verb or an action. However, the aforementioned argument see it as:

2. Don’t you worry.

According to this answer and the wikipedia page the meaning #2 is in fact common, but the same answerer says just after that that "no worries" is equivalent to "no problem"… However, we cannot understand "no problem" as "don’t you problem", because that verb simply doesn’t exist. That said, if "no worries" and "no problem" are equivalent, is the meaning #2 accurate?

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^{* I’m not a native English speaker}