Attorney recommends approach that makes their job easy and results in happy customer.

It's the same reason mechanics tell you do do preventive maintenance even though they make way more money swapping out large components.

That's assuming the police actually intend to arrest you. When questioned by police, you cannot talk yourself out of an arrest. If they already have evidence, they just want a confession to give the prosecutor a slam dunk case, but if they do not have evidence, saying you won't speak without a lawyer present will usually cause them to move on to the next person on their list, and you won't spend a dime on counsel or time in jail.

A lawyer helps ensure the innocent don't get screwed by a mistaken witness, a vindictive prosecutor, or a corrupt cop, and that the guilty don't get railroaded with a laundry list of bullshit charges. Money spent on a lawyer will generally pay dividends when you consider the cost of false convictions and false arrest - losing your job, bills going unpaid while you're behind bars (and the interest, penalties, evictions, and reposessions resulting from them), damage to your credit, trying to find a new apartment with an eviction on your record, having to get a new car, etc. All these factors combine to make people who go to jail far worse off when they get out, regardless of their guilt.