FWIW I also used to use that quote, until I had a child and saw firsthand [well, second-hand as it was my wife doing the work] how much effort breastfeeding a newborn could take; I don't really blame anyone for quoting it (it's pithy after all).
Surprisingly good further discussion on the UX SE [1].
0: https://www.npr.org/sections/health-shots/2013/09/23/2253491...
1: https://ux.stackexchange.com/questions/5150/is-it-true-that-...
The fact that suckling is a hardwired reflex is what makes using the nipple intuitive. You use it by doing the same thing you think you should do.
In this case it gets used automatically without choice or thought. Anything shoved into a baby's mouth triggers it. It's not intuition, just reflex. Intuition implies understanding.
It's the difference between "I know that what this is for and how to use it" vs "I have no idea what this is and I have no control over doing it, this is just something that is happening to me"
It's become more of a meme to be needlessly contrarian, and ignore the fact that billions of babies actually do know this interface intuitively.
But beyond that (and this is covered in the stack overflow thread) is that it confuses intuition and reflex. Reflex is hard-wired and the stimulus often doesn’t even hit the brain - think a doctor tapping a kneecap. Suckling is like this, which is why a baby will root if you stroke its cheek - obviously there’s no nipple on the finger, yet the baby’s reflex kicks in nonetheless.
Intuition/intuitive on the other hand, in the context of UI design, means the user can without thinking or with very little conscious thought understand how to use the interface.
It's like quoting Einstein's bit about infinite stupidity, or the Dunning Kruger effect. It's dismissive without being insightful.