OK, I see the difference. I having been wondering about this because I attend a club, and whenever someone new joins, we introduce ourselves, and I usually say “I’m Ben” because most people in the room know who I am. But if we were all new, I should actually say “My name is Ben” which implies no previous familiarity.
Nope, not a fluent speaker, but I was going by what my Spanish-speaking friends taught me as the difference. Of course, I don’t speak to them on the phone in Spanish.
This could explain some snickers I head from them once.