@Yehudayona
I consider met as being introduced to, exchanging words/small talk and possibly shaking hands.
I was presented to HRH Prince Phillip and HRH Queen Elizabeth II, exchanged about 15 words of pleasantry, but they do not shake hands.
I have shaken hands with all the Presidents I listed. I met Golda Meir at a dinner in a private home in Ramat HaSharon in 1971. She spent most of the evening talking with my mother about about teaching aqdolescents,
I don’t consider seeing or just being in the same large arena as meeting someone.