This is how I feel about as well. It doesn’t bother me in the same way that it used to. Although I would still not be comfortable using it myself, I don’t cringe when I read it anymore.
<closes dictionary> I can concede that you don’t “intuitively understand” why it’s considered a worse insult than say, calling a woman a bitch. But you do understand that society (at this point, in time) deems it to be a more serious insult, do you not?
If you somehow doubt that’s the case, then you obviously (to me, at least) have never used the word ‘cunt’ to insult a woman.