Two huge problems with this, one a consequence from the other: - you don't own the keys and therefore don't actually own the crypto, just a vague IOU from p

Two huge problems with this, one a consequence from the other: - you don't own the keys and therefore don't actually own the crypto, just a vague IOU from payapl - paypal can therefore credit you for as much crypto as you'd like (in exchange for your fiat) without actually owning/controlling *any* crypto at all, since there is no way for a user to ask for a crypto-hard proof that the coins they own actually exist. At the risk of sounding repetitive: not you keys, not your Bitcoins.