Obviously this doesn’t hold true for everyone, but your attachment to your kid has nothing to do with how you feel about kids in general.

You start by saying you're not generalizing to literally everyone, but then you follow up by generalizing to literally everyone.

You can state that "my attachment to my kid has nothing to do with how I feel about kids in general" but the way you've phrased it makes it generalized and you apply it to the generic you. Talking about "your attachment to your kid" reads very much like lecturing me about how you're telling me I'll feel.

I start by saying “Obviously this doesn’t hold true for everyone” which means I’m about to make a generalization, and generalizations, by the diverse nature of people, are unlikely to apply to every single person even if they hold true in a majority of cases.