When a cop stopped me and told me he was recording the conversation, I was extremely hesitant to hold the conversation. I nearly said, “I want my lawyer now.”
If they’re recording, you are tied down by everything you say. They need to Mirandize you before recording, in my opinion.
The easy fix is to respond the same way to any question by a law enforcement officer. “I do not answer any questions by law enforcement without the presence of my attorney.”