Sorry, you are wrong. they have no "legal" bank status.
Behaving like a bank does not mean, you are a bank. Otherwise you have to follow special rules, which Paypal is not following right now.
Quote from wiki:
In the United States, PayPal is licensed as a money transmitter on a state-by-state basis.[16] PayPal is not classified as a bank in the United States, though the company is subject to some of the rules and regulations governing the financial industry including Regulation E consumer protections and the USA PATRIOT Act.[17] On May 15, 2007, PayPal announced that it would move its European operations from the UK to Luxembourg, commencing July 2, 2007 as PayPal (Europe) S.à r.l. & Cie, S.C.A.[18] This would be as a Luxembourg entity regulated as a bank by the Commission de Surveillance du Secteur Financier (CSSF), the Luxembourg equivalent of the FSA.[19] PayPal Luxembourg will then provide the PayPal service throughout the European Union (EU).