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The devil is in the details and the people already have the power to only use services that allow data exporting.The problem with this is that people are choosing products and services based on many different aspects simultaneously. In particular, price and (with Internet services) network effects are such a strong factors that they pretty much override all other considerations. How this plays out in practice is, the whole market stops offering value along the "irrelevant" factors.
In case of GDPR - because abusing users' data makes money, and not abusing it costs money, everyone starts abusing it to reduce price (or their costs). You're not going to ditch Facebook if all your friends are there. You're not going to ditch your primary care provider because it plays fast and loose with your data - it's a big hassle, and there's no guarantee other providers aren't even worse.
Imagine switching this discussion to one about food safety regulation. If they were suddenly all repealed, you can bet your top dollar that the quality of food would quickly degrade across the board. Even the most upstanding companies would start making sacrifices to keep up with their less ethical competitors, or risk getting outcompeted - relaxing standards allows to drop the price (or increase and reinvest profits), which allows to keep this up through economies of scale, while companies standing their ground on quality lose customers, lose efficiency, and have to increase the price. Customers won't choose the more increasingly more expensive, quality food, because in a typical countries, most people can't afford expensive food.
The end result is the market locking into a new, much lower, food safety level.
There are certain patterns on the market that are very predictable, and which are impossible to fix from within. That's where regulations are needed. And they do seem onerous to businesses when introduced - that's because we usually realize the problem only when we're deep in it.