I don't want to give my ID to every service I interact online. But I also don't think it's reasonable to ask of parents to ensure their children aren't accessing age restricted content online.

What about liquor shops or strip clubs? They ask for ID, which makes sense; we're not expecting parents to make sure their children don't go into these places. But the liquor shop takes a look at the ID and then doesn't collect the data.

Being entirely against age verification is not a good stance I think, but we should definitely have a hard stance on the privacy issue. There are systems that preserve privacy while still making it possible to verify you're old enough to use a service.