One World members have their own loyalty schemes, but OW itself does not have its own scheme. You join the one that you expect to use most, with miles and points earned on other OW carriers being regarded as a nice bonus. But OW carriers will not grant status based almost entirely on flights taken with other OW partners, who in reality they are often in competition with! QR's criteria that four flights or 20% of points must be earned on their metal is entirely fair, and quite generous in my opinion.