No. Sites shouldn't have to ID everyone that uses them. The internet shouldn't be turned into a nursery for children just because parents don't want to do their job and supervise their children while they're on the internet. If you want a curated internet that is child-appropriate, then you create your own private internet. You don't force the rest of the world to censor itself.
Just like the free market figured out cybersecurity?
It ain't a magic wand that fixes all problems, buddy. Some problems just aren't possible to fix without making changes that sacrifice values core to the economy and of our culture.
I buy alcohol, I'm age verified. The govt didn't need to build a big fancy age verification system for businesses to use, they only needed to fine businesses who sell alcohol to minors. The businesses will figure out how to be in compliance.
The free market sure as hell hasn't solved Healthcare or even promote good health.
You have magical thinking at best. This isn't an "agree to disagree" issue any more than it would be for me disagreeing with someone who believes the moon is made of cheese.
Fine sites that allow minors to view porn and the free market will figure out age verification real quick.