This is very misleading wording. The issue is not manipulation of data, it is access to the data. Google, Facebook, Amazon, etc. do not make money off of you by manipulating your data. They don't make money by changing your browser history or your search preferences or what you've viewed. That would remove their profitabilty.
Rather, they make money by reading your data and transforming it into something more useful. Like an oil refinery, they take something in a raw form (data) and extract something useful out of it (your likes and dislikes, preferences, triggers, etc.). They then use this derived data to try to sell you things.
Data in decentralized protocols is completely public. Anyone has access to the entire history of the blockchain, that's how it has to work. The data you send, therefore, has to be encrypted. The same is not true of the current internet: nobody has access to your Google search history except for you and Google, and it's very likely encrypted.
The analogy here would be "Trying to access data on a server resembles trying to steal someone's bank account number by breaking into their house through a complex security system, finding the number, and de-scrambling it. Trying to access data in Web3 is similar to the criminal having to do almost none of that, because your bank account number would be publicly accessible, but in a scrambled form. They would just have to un-scramble it."