I find no paradigmatic voluntary exchange bizarre. There are sometimes factors that bizarre-ify exchanges of any of the three types you divide up. I don't think that these factors were at work in the red paperclip "scheme", but could be mistaken - I haven't done extensive red paperclip related research.

I know people sometimes give away substantial amounts to content producers they want to support, which looks like a hybrid of gift and either fair or unfair trade (depending on the content). I don't find it bizarre. I'm sure many people would, but I'm willing to be proven wrong.