If later they learn something unpleasant about nursing homes, or pension plans, or something else relevant to their expected quality of life at their old age, then that might tip the scale towards having children, even though it is only one of many reasons.
The last reason that tipped the scales towards a decision is not necessarily the only one or even the most important.
Similarly, if I go into vegetative state I hope someone will use my organs for some good cause, not try to keep me alive by any way possible.
The modern retirement system is merely an additional layer of indirection over the traditional system of kids taking care of their elderly parents.
If your answer is that you are not planning on counting on it for the future then a lot of people will ask why not stop paying into it and keep the money taxed for yourself? It is a significant tax. You CAN actually stop paying into it and then make yourself ineligible for payments out which includes spousal benefits being cancelled. You CAN conscientiously object, it is a provision of the SSA law.
If a lot of young people saw that, they would withdraw from it and put the trust right now into a deficit which would adversely affect the people withdrawing from it right now.
I think there is a non zero probability of this happening regardless for different, uglier political reasons but it doesn't make a lot of sense for people to be forced to pay into something with no promise of ever getting something back.