As a parent I fully understand the need to curtail it. I also get how some parents could shake their baby to death. Feeling it and acting on it are totally different things.

It’s ok not to feel it. Our brains are often wired differently. I personally only get cuteness mildly. I mostly notice it by how I’m being biased, rather than a strong, independent emotion. You likely have chunks of it, but mentally bundle them into different emotions.