You can go on from there, and say "Most wealth is appropriated from others, not made." Or "The American dream is a myth, just like the London investment banker’s fantasy. Those who make money are often not very talented at all. They were just lucky at the right points in their lives." That is, the claim is not just that luck plays a role, but that luck plays the dominant role. That's a different claim.

And where it goes from there is often toxic and hostile (whether or not this particular article crossed the line). It usually goes to "So give us our share of it, because you don't deserve it, because you're not actually successful, just lucky."