This is quite an intriguing move by Stripe, and I assume they'll provide a similar service to Neo&Bee, where merchants will be completely shielded from the price volatility in Bitcoin. It would be interesting if Stripe adds this Bitcoin support to the Stripe Checkout by default, being one of the first mainstream deployment of Bitcoin payments. It might also allow them to reduce fees, which have been largely set by the large card processors so far.
[Edit: Fixed bad grammar]