I would be ecstatic to be proved wrong on this, but experience tells me that is not likely to happen.
Right now, if a handful of tech companies crater they'll take the whole world's financial systems out with them, so the government could easily be made complicit in any scheme they can conceive of to bolster their finances.
This is a little like the joke: "Madam, would you sleep with me for 1 million dollars?", to which she replies "I would". "Madam, would you sleep with me for 1 dollar?", to which she replies, "Sir, what sort of woman do you think I am?" To which he replies "We have already established what sort of woman you are, now we are just trying to establish your price!"
By agreeing to this initial Age Verification, companies are establishing that they are willing to implement checks on age for their users, now we will see just how much more they are willing to do - all to protect the children of course.
If you, as a parent, make yourself open to this attack, you will find that you are making us less free of a society by expecting others to parent for you.
If you oppose the law to force liquor stores to deny service to minors, but people are still upset about minors getting alcohol, you have no right to be surprised when the next proposal is to ban alcohol for everyone, and you have no right to be surprised if it passes.