You start taking about, "Being happy to cooperate but at the time I'm so upset by what happened that I won't be of much assistance, and I will be more than happy to cooperate after I have calmed down and had a chance to confer with my lawyer.”
They're not going to like that regardless if ya serve it up with warm cookies and milk.
But what if the audio of you they're recording is picked up by the cops is a weak transmission, or has wind noise or other interference which causes the audio of you to break up, cause static, or the transmission momentarily drops in and out etc..Happens all the time.
And all the jury hears is you stating, "I'm so upset by what happened.... after I... calm.. down...my lawyer.” Or what ever words get chopped up by a compromised broken transmission.
Your life and freedom are on the line here. Playing the nice cooperative guy is certainly not worth the risk.
It was not me who said one should be cooperative with the police.
I said one should only demand to consult an attorney or otherwise risk have their words twisted by the police.