What would an example of #4 look like? Don't lie to the cops, but refusing to answer without a lawyer present should hold no legal consequences.
In England, a refusal to answer questions can be taken as an indicator of guilt. But you can still ask for a solicitor and they will tell you which questions to answer and which not.
Specifically England, not the UK, as Scottish law is different.
You can absolutely talk your way out of situations. Jeffery Dalhmer infamously convinced cops that his drugged victim was his boyfriend and they let him go. Probably not going to be able to do that after you're booked and in jail.
I don't think it's terrible advice to not talk to the cops but it tends to discount the reality of the world. Going through any sort of criminal trial is expensive and has devastating life impacts. Cops are the first step in that process and convincing them not to arrest you is the easy path out.
If you match a description and are in the general vicinity of where the crime took place, it’s enough reasonable suspicion for a detainment. Whether or not you need to produce ID at that point may vary by state but it’s likely the case in every state. If it’s legal for the police to demand your ID and you don’t, you can be arrested for failure to identify.
Now they don’t have probable cause for an arrest based on the original crime they stopped you for, but your day is still ruined.
You don't talk, and it annoys the cop, so they fabricate evidence against you, or charge you with some other unrelated thing that they would have otherwise let slide.