Note I didn't say, "Never talk to the police." You need someone with you that can understand the law and how work within the system. You never know when they might consider you part of the suspect pool. You can be helpful, just be helpful while protecting your own best interests.
It's not even about understanding the system, the presence of the lawyer forces the police to establish "scope".
If I'm just a witness, then the lawyer can make sure that what I say can't later be used against me for something unrelated.
If I'm a suspect, this prevents the police from going on a fishing expedition to just "find anything". Once they talk to the lawyer, they have to go hunting for "what they told the lawyer" as opposed to everything in the world.
Interesting...do you have a reference to that handy? Thanks!
The lawyer's name is "James Duane", but I can only find his CATO Institute videos and they're not very good. :(