I think it will overcome PayPal in fast transactions and of course the number of funds Bitcoin has more Dollar reserves than PayPal. But this is the only thing that bitcoin will be hard to overcome on PayPal, the security of every members from fraud. Unless you are using online wallets, in our country you can never use their service unless you'd undergo in their KYC verification. So you can open a dispute if the scammer is using the same online wallet.