Incorrect. It's also not true if there are insufficient funds to cover the transaction or if the buyer purposely drains the account right after the initial transaction is approved. Unlike Goods & Services payments, there's no backup funding source for Friends & Family. The transaction could go through and get credited to your bank account; then, a week or more later, you could get notice that the payment was refunded to the buyer and charged to your account. Zero recourse and you're SOL.
I only learned this after it happened to me innocently and that client just re-issued the payment, using Goods & Services. It's the reason I no longer allow anybody to pay me using F & F and even refund any such payments with instructions to reissue using G & S. (Anticipating the question: I suppose PayPal doesn't have to verify that the buyer's account actually has the funds because they know it's your loss, not theirs, if it doesn't. With G & S, it doesn't matter to them, either, because they have a backup funding source. That's the weak link in the system from the perspective of sellers who use F & F for payment.)