There’s no reasons for anyone to care about who you are unless you tell them. That’s the job of the identifying phrase during an introduction.
When you are in a situation that requires you to introduce yourself, make sure you give a word or two about why they should care to meet you. For example, “Hello. My name is Lynley Jones and I’m leading the manners workshop tonight.” The identifying phrase tells the person you are introducing yourself to why knowing your name matters.
“Hello. I’m Lynley Jones” tells them nothing of value or use. The identifying phrase is the jumping off point for conversation. “Oh, you are our speaker tonight. How long have you been leading workshops?” See? If the person didn’t have the identifying phrase, they’d be stuck trying to come up with a clever conversation starter. The identifying phrase cuts to the chase: here’s who I am; here’s why it should matter to you.