I'll thank you not to dismiss my views simply because I have experience of what I'm talking about.
Nobody likes an utterly self obsessed person, but that's nothing to do with child centric parenting. The fact that you think "child centric" means endless navel-gazing just shows you don't know anything about it. It doesn't mean "indulge the child constantly". It means "remember the purpose of this is to raise a secure, balanced, independent and considerate person, not to raise someone who always does what you want and it doesn't matter why".
Hitting is one example of angry, parent-centred parenting, although I could give you plenty of others. The point is, there is literally no benefit to the child and the true purpose of parenting in it. It indulges the parent's anger and frustration, and while it might create immediate compliance, it teaches no reason for behaviour except for "otherwise I'll hit you", which gives the child no incentive except not to get caught. And, of course, creating a stressful environment that doesn't engender long term good behaviour, even if you do temporarily scare them enough.
It also means the parent doesn't learn better methods of communication and self control, which often leaves them fucked when the kid reaches their teens and is now able to hit them right back. And why wouldn't they, when you've taught them that it's a great way to show displeasure?
It is shit parenting. It has been proven to be shit parenting. The next generation refused it because it is shit parenting.
And if the only alternative you can think of is endless self-obsession, that's one of the strongest indicators of what shit parenting it is.