First, this is not a situation I or anyone I know of is in. It's a hypothetical, and an attempt to clarify common legal advice in the USA like "never talk to the police without a lawyer."
Let's say Steve is the victim of an attempted mugging. The mugger, Meany McRobberface, does a bad job handling his weapon (gun, knife, fists, take your pick) and Steve manages to get the upper hand, and restrain McRobberface until police arrive. The officers arrive to see Steve using force against his would-be assailant, and detain both men, formally arresting the aspiring mugger.
The police ask Steve to come in for questioning. However events happened, he is "clearly" the victim, and was responding in self-defense to an attempted mugging, possibly involving an armed assailant. Does Steve still need to lawyer up as soon as he's asked to come in? What about questions he's asked on the scene, should he refuse to answer until he can speak to a lawyer then? In case the answer depends strongly on the state, let's look at California and New York State.