I understand this argument with US politicians, and especially the Republicans, who can all be assumed to be in the pocket of big business, but I don't think you've gone through any of the UK politicians in support of this to see what their business connections are, never mind the majority of them. For example, pulling the first MP I found speaking in favour of age verification on Hansard, what makes you think Iqbal Mohamed is in this for the benefit of data brokers? (He's not a Labour MP, I should say) Have you ever heard of him before today? What about Lewis Atkinson, who also supports age verification? His job before politics was in the NHS.
There is this extreme cognitive dissonance about this debate, where people are unable to deny the obvious truth that, unlike us, most people are in favour of age-verification regulations, yet insist that this simply does not feature in the motivations of politicians in implementing such regulations.
I'm not a troll. I'm not naïve. But I am also not so idiotically cynical as to believe that the motivations of politicians are wholly based on servitude to business, wholly divorced from the motivations of the general public even when those motivations align.