While Stabler took precautions in separating his undercover life as Eddie "Ashes" Wagner from his work with his NYPD unit, he isn't wholly split from his personal life as Stabler. When he had a few hours of free time, he went to intercept Eli on his way home from school and suggest having dinner with him and Kathleen. And after Gina went to extreme lengths to preserve her undercover identity in Organized Crime Season 1, only to be found out anyway and murdered, I'm nervous for the people in Stabler's life! Stabler has ties around the city, and already encountered some other cops. Sure, they were Harbor Police who wouldn't have likely crossed paths with Stabler as colleagues, but that might not always be the case.
