I've heard my kids have this conversation on the right almost verbatim. And I've had the one on the left in my head many times. Is it awkward? Do they think that I'm awkward? Do they actually want to be with me or are they just being pleasant in order to have a calm working environment? Oh, no, now they're reading my weird facial expressions!
But anyone who would go to the playground with me and swing is definitely a friend worth having.