I think at this time, paypal is still not official institutions that have many branches in different countries, maybe 10 more years of bitcoin will beat paypal.
i think bitcoin is already an official institution and its service is already present in all over the world. therefore bitcoin can easily overcome paypal.
Thats how Linux users could say about their OS. Thats its fairly superior to Windows. Its more diverse, more secure etc etc. Yes bitcoin is the Linux and the Paypal is the buggy bluescreened Windows.
But there is a reason why the Paypal and Windows is the no. 1. Its the corporate consensus that all of the softwares or in case of the paypal, buisnesses, operates using Paypal/Windows and not Bitcoin/Linux. Money talks and those who have a more money and power dictates the "free market".