They have tabs that go "Credit card", "Paypal", "Bitcoin", so, presumably, 0 people will be confused by that, plus they have lower fees than either CC companies or Paypal, so it sounds like an obvious win for them.
With a large enough user base, you'll definitely encounter people that will be sufficiently intrigued by the idea of paying with Bitcoins they don't have (or confused by accidentally clicking on the Bitcoin tab) to get distracted and end up making the payment via one of the other hotel search website windows they have open. That's true even if the Bitcoin tab is much more discreet than the "credit/debit card" default.
There are, after all, enough people confused by a concept as non-novel as the address their credit card is registered to for some companies to be willing to pay higher interchange fees and accept higher chargeback risk to omit those fields from their CC forms.
