I don't see where Lockhart moved to London. It said he worked for Sky News, but he could've been based in the Washington area as a correspondent. The interview also doesn't say when Lockhart worked for Sky News--he could've worked for them prior to working for the WH or afterwards (same for ABC). You'll need to get more detailed biographies of both of them for comparison.
Ping the pajamrotzzi....We've got another mystery to solve......(er expose)
When his wife Laura Logan, Deputy Press Secretary for John Glenn's 1984 presidential run, was transferred to London by her employer, ABC News, Lockhart followed and landed a slot with the nemesis of liberals: Rupert Murdoch. Kurtz recounted: "He applied for a producer's job at British-based Sky News and was stunned when executives there wanted him for on-air work....Soon his daily business reports were running back home on Fox, albeit at 5 a.m. Sky News dispatched him to Washington to report on the Gulf War, but...his program was later canceled." Back in the U.S. he worked for the Clinton campaign, then assumed the Deputy Press Secretary slot at the White House.