If there was such thing as a 1 second delay then the tech would be dead by now. He’s just making things up.
I see here a lot of people talking about delays and how $2 wired earphones solve the problem. So I get people buy cheap and wants quality with their new iPhones. Cheap earphones with or without wire are always crap, the sound is horrible and the quality follows. It might be the reason of the delays: cheap stuff