You clearly have a lot of "feelings", but do you have any facts? On any of whether children / young adults are actually more anxious, on how parenting has changed, and whether those two things are related?
I've mostly seen
manipulation
As you've said, perhaps the problem is that you seem to live in a space where all you're experiencing is manipulation, and not that supporting your children and teaching them the skills needed to navigate and regulate their emotions is "pampering".
Most children and young adults I interact with closely these days seem to be far more emotionally mature than my cohort or my parents' cohort.
Most children and young adults I interact with closely these days seem to be far more emotionally mature than my cohort or my parents' cohort.
But that's also just my anecdata.