The average level of American "OMG so excited to meet you" is usually reserved for actual celebrities in Europe. When you have seen them talk like that to everyone in the room, the conclusion for the European is that the American is lying about being excited to meet you, which is much more offensive than if they just said "pleased to meet you".
I've been an American all my life, and I've never seen anyone say they were excited to meet someone other than either an actual celebrity or someone who has been significantly talked up in advance to the level of being at a quasi-celebrity level in context (and even in the latter case, “I'm glad to finally meet you”, possibly followed by an explanation of the reason they've been looking forward to it, is much more common than expressions of excitement.)
Honestly, the behavior you seem to be describing is one which would strike most Americans as both unusual and deeply disingenuous.
You mean West Asia? East Asia is the Far East; that's the whole point of using the term "the Middle East" for what was originally just "the East".
If you've ever spent time in Latin America then you'd know it's rude not to ask anyone how they are before engaging in any sort of conversation. The Middle East (i.e East Asia) has very similar mannerisms.
Engaging in these pleasantries signals I view you as a person rather than you are just a means to an end.
It's the literal equivalent of foreplay before sex.