"public out on the street or with my lawyer present."
Isn't a large reason why one shouldn't talk to the police because they may intentionally misconstrue what you say? Being in public won't solve that, hence the lawyer bit.
Completely agreed; I was addressing the concerns of the people who would or wouldn't allow a police officer into their residence.
If I absolutely must speak to an officer without a lawyer present, we will be outside in public, not indoors in private. If that's not acceptable to the officer...well, too bad.
(Though, the hilarity of it is, I am in a position where I can even say no to an officer and the officer will likely respect it. I "look like" I have the resources to push back on police abuse, so police are less likely to abuse me. If I didn't look like that, I probably wouldn't even have the chance to say no, at least not without a lot of pressure.)
They don't even have to misconstrue it. You could unintentionally change some facts in your story from what you had said 5-10 minutes ago, for example. Cops are trained to pick up on little stuff like that, while you might not even realize you did it.