Yes I do get those times. If they happen when I'm with people in general, then usually it doesn't last long!
Also, I find that when I feel "socially sucessful" is usually when I am expressing something learned in general, or something around a common subject/interest/activity. NTs don't mind repeating the same old jokes and I don't either if it means having a laugh together and they also like having "In" jokes, which basically means something only that particular group would understand.
When I am with my close friends it is easy. Because some of them are younger, but also I met them all through a common interest. So unlike the times I burn out through socialising in general, I usually return energised, because I have been able to express a huge part of my mind and I can also share some of my feelings because the common interest is Feminism, which means I can complain and celebrate my humanistic sensibilities, which they mostly understand.
One thing about being energised though is that I find it hard to come down again, so that will eventually lead to burn out of some kind if I don't make an effort to relax when I have come home and back to real life again.
They are quite sensitive (so pick up on what I'm thinking and feeling), and they are also realisitic and can laugh at themselves, so they don't mind my honesty! It's blissful to have friends I can express myself with.
I would never underestimate having the right bunch of people to hang out with.
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Your Aspie score: 123 of 200. Your neurotypical (non-autistic) score: 86 of 200. You are very likely an Aspie