From what is known the people we call Neanderthal were intelligent and were empathetic. They made seashell jewellery and they buried their dead covered in flowers. I'd be proud to have a high percentage.
Frame your argument a little differently - you're saying you can't be proud / ashamed of anything your parents have done (that you didn't contribute to).
Pride or shame is by definition a feeling not legal culpability. A feeling.
Human brains seem wired to have strong feelings about their kin or tribe. So, yes, I would think having neutral feelings about your parents would be a hard thing to understand for most people.
You're technically correct and I agree with you, but you're missing the broader point: the goal of GP comment was to make the author of GGP comment feel better about having a high percentage of neanderthal DNA.