It definitely depends on the country. I live in Scotland and I've been perfectly happy to chat with police officers but if I'm taken in for questioning (which in Scotland is an arrest) I would have no hesitation in asking for a solicitor and they would probably advise no comment on every question.

If I want to help them out I would then prepare a written statement, approved by my solicitor, and give them that.

It's just the sensible way to go.

There's no rush. Take your time and be smart.