Tim Berners-Lee's startup Inrupt [0] is essentially trying to partner with companies to sell an enterprise version of the Solid Project software. Their website suggests they've partnered with some large-ish companies already[1]. I could see a webpage prompting you for a release of your certain parts of your 'pod' rather than use cookies perhaps.

[0] https://inrupt.com/ [1] https://inrupt.com/solid-enterprise-natwest-bbc