[0]: https://www.militarytimes.com/flashpoints/2020/01/23/deploye...
[1]: https://www.theguardian.com/politics/2019/dec/17/tories-swit...
Not a joke, for real.
They are experts at getting you to talk to them even if you know this. They are experts at getting you to say things that incriminate you or your friends -- that you or your friends have done nothing wrong (in your opinion/as far as you know) will not protect you.
The only answers you should be rehearsing or thinking of in advance are "I would like a lawyer" and "I would like to remain silent." They are rehearsing how to get you to say incriminating things, a lot. Rehearsing or thinking up any other answers only plays into their strengths. Even knowing this, I've been tricked into talking to them, to my detriment. They are really good at it.
We made a relationship with one I found through family via estate planning (not his specialty) and land deals (not his specialty).
Now I have a name to say out loud when I interact with police. This has happened twice. The OP is right, they'll do everything they can to get you to talk, but understand that if a police officer is talking to you, they're digging for information to incriminate you. In my case, I was a witness to something, and they cuffed me and made me sit on the curb. No possible way I could've needed to be cuffed and questioned. And that was the approach my lawyer took when he came. Best $100 I ever spent.