Yes definitely, agree with a lot that you pointed out, in terms of graciousnes and motivating others.

First, I'd like to point out that people skills are skills, and all types can learn them.

Second, regarding a more 'composed' air I think you're hinting at, observing the norms of etiquette, I have before suspected that ESEs are great in this regard, not just because of Fe, but because of Si. Look at how nice SEIs are... look at the professionalism of LSEs, how great they can be with people, and how considerate SLIs can be. I think Alphas and Deltas can come across more laid-back, chilled, comfortable with people, because of the influence of Si.

Depends what you mean in terms of 'people skills'. If you're talking about motivating, inspiring, getting to someone's core, EIE's Ni makes them amazing. If you're talking about fostering interpersonal relationships, I would vote that the ESE is best.

And yes, it's fun to play host and make sure that everyone is being taken care of and having a good time!