In the mobile world with mobile optimized apps those redirects don't work. So app developers want to make the payment experience feel like it's happening "within the app" Twitter, Facebook, Pinterest and others all then had to solve for the inventory + payments challenge. Defaulting to Stripe can be problematic if the retailer already has a different payment processor relationship in place. By solving for the inventory piece I suspect Stripe is hoping to help drive momentum around overcoming the processor objections.
Full disclosure I work at Spreedly where we help solve for the payment dilemma (not inventory) by allowing developers to work with a wide range of payment processors and/or affiliate API's.