TIMES BOSSES SHOW MEAN STYLE May 24, 2003 -- THE NEW York Times double-crossed Styles section writer Alex Kuczynski this week by leaking word that the sexy journalist had quietly resigned - without noting her departure was merely temporary. "Alex told the Times a year ago when she signed her book deal with Doubleday that she would take a six-month book leave," a source explains. "They were fine at first, but when the time came for Alex to leave, the top brass said, 'times are rough - we want you to informally resign. No one will ever know.' " Sadly,...