If you were a naive online shopper presented with multiple payment options at checkout, with no other information to guide you, you very well might choose the one that is labeled 'safer' and 'easier'.
(And it's worth pointing out that many people don't have a clear idea of what's going on when they click on any of the buttons. It's perfectly plausible that people will parse the PayPal slogan as a recommendation. Think of the infamous Facebook/ReadWriteWeb login incident.)