I think this is very unlikely. PAYPAL has a large number of users, safe and legitimate.
And The main reason you’ll probably lose less money through PayPal is because your funds are only converted once. For example, dollars are immediately converted to euros.
With bitcoins, your funds are converted twice. In other words, you have to convert dollars to bitcoins and then convert bitcoins to euros. If you want to use bitcoins, take a good look at the exchange rate you’re getting — it could make a bitcoin transfer cheaper than using PayPal.