That is a fact that bitcoin is better than paypal that is why paypal is trying to cover up some bitcoin services too and tries too adopt the usage of bitcoin with the help of coinbase. And I think they are also teaming up with the ceo of xapo. So we can prove that bitcoin is much better than paypal nowadays, so paypal sees it as a threat.
Bitcoin basically overrules every traditional fiat based payment service, and they know that. But still, we need to convince the non Bitcoiners to choose for Bitcoin instead of keep using the same old stuff. But then again, they will come up that they enjoy buyer protection, and Bitcoin doesn't. Plus, with Bitcoin they need to buy it first in order to spend it.