Progressive taxes are not the same as ‘progressive’ in terms of social politics.
Progressive taxes are how our tax brackets work. The more you make, the more you pay. This is them saying private companies will use progressive taxation as their model for pricing goods.
Yes, I know. You’re a sweet summer child if you think these algorithms will be used to consistently make wealthier people pay more, as opposed to (for example) charging poor people without cars more because they can’t as easily go to a different store.
They will exploit every customer to the maximum extent that they can. Rich customers may have more ability to pay, but they also have more resiliency and options to resist the exploitation. It does not seem likely that the price discrimination would really end up as progressive in the taxation sense as you hope.