You seem to think the average person actually plans for this. They don't and even in 1st world countries that care for their elderly the system is still strained and crumbling.
If you honestly think you'll be rich good on you and best of luck in a retirement home. The vast majority of people are not going to be that lucky.
This screams of the same youth that say they don't need to pay for health insurance because they're healthy. You really think you know what the future is going to bring?
Damn.
And to be clear, no sane adult expects their kids to pick up the slack but statistics show that is what happens worldwide.
Kids are the primary point of care for their aging and elderly parents.
A lot of you are going to have a cold snap of reality when you're old and alone.