I get it, sort of. In that case I just tell myself "it's hyperbole for lazy people" and move on. "Could care less", though, that one I cannot reconcile.
That is, no one is saying "I am literally dying to know" to try to communicate the fact that they are not, in fact, dying to know. Instead, the difference between "I am dying to know" and "I am literally dying to know" is one of emphasis. The second is almost perfectly equivalent to "I am really dying to know" or "I am very much dying to know".
By contrast, "I am figuratively dying to know" would imply that you are specifically not dying to know, which everyone understands perfectly well.
What have I just said?
If only we had a word whose express purpose was to avoid ambiguity for those times when it matters to communicate without ambiguity...
These are all literal meanings of insane. Of course, if we add figurative meanings we can increase the ambiguity further.
However, your criticism applies similarly to words like "truly" - if I say "that is truly insane", do I mean that it is insane in one of the literal senses of the word? Or the figurative uses? Am I just emphasizing either of these meanings, or do I feel a need to confirm that I am not lying?
Either way we take it, though, "literally" can never be replaced with "figuratively" without altering the meaning of a phrase. In it's use as an intensifier, it does NOT mean "figuratively", it means "very".
Also, looking on Merriam-Webster, they clearly discuss this and reach the same conclusion. They also mention that this meaning for emphasis appears as early as the 18th century, in the works of Charlotte Brontë, James Joyce, Mark Twain.
What have I just said?
If the context is that it's been a handful of minutes, we don't say my usage is wrong; we definitely don't say that "sometimes days means minutes" and fret about how anyone will communicated time. We say that sometimes people exaggerate.
You can still object, if you wish, on stylistic grounds. You can object that you'd prefer we keep "literally" apart from some standard uses of words lest we allow inappropriate ambiguity. But none of that means anyone is using "literally" to mean "figuratively".
(I’m also wishing the horde off my lawn but they may have already won.)