From what i understand the warrant has to be specific. It would need their address.

If it was the home address of the target, but not the address of the person’s house they ran into, i think it’s useless, other than to at least prove to the person there is a legitimate warrant out for them, which could change their behaviour.

Like if someone had a judicial warrant for them, but not with my address on it, I’d probably act differently than if they didn’t have one at all.