Stripe is positioning themselves as one of the leading adopters of AI internally. I don't know of public stats but I estimate they're spending on the order of $millions per week on tokens. I assume they've adopted Openrouter and the majority of that spend is going via Openrouter. So they understand the product value, they understand the current gaps, and there's also a threat mitigation. They've likely become very dependent on Openrouter and someone is going to buy it - so they may as well negate the risk to that. (Threat mitigation alone is not worth $7B but it justifies a certain premium.)
They also have very complementary problems and skills. The long-term roadmap for routers is auto-routing; that is, turning traffic into signals into automated decisions. Stripe has a lot of overlapping talent and experience from fraud-detection and likely other products.
Follow-up: Somehow in all that I forgot the most obvious pairing. Stripe wants to solve how agents pay for things. They’ve been quite open about this. Seems obvious that any solution to that is going to be through the model platform layer - so they just bought a major platform layer.