PayPal can confirm and check whether you are telling the truth or not by checking if recipient BTC address got bitcoins or not.
I could say I paid some product (not BTC) with paypal and didn't get it, there are poor countries where postmen can steal the package, the same as your traveling bag can disappear at the airport. there is the way for paypal to see if you got BTC or not, every transaction can be checked at blockchain.info.

peter thiel and paypal are NSA company and they blocked wikileaks, that was clear politics and not business.
nsa and cia doesn't make companies by themselves then they use some people for that (coinbase, ycombinator, in-q-tel, etc).
they don't hide it: https://en.wikipedia.org/wiki/In-Q-Tel