Funky. I'll have to have another look at the pin in the links I removed.
I did have a more-careful look at dedicated 6, 7, and 8-speed chains, and I do see where the 6-speed chain is a little wider as you describe. I also understand why I found another thread talking about chain widths in tenths of millimeters instead of fractions of inches ... I'll have to take some measurements when I get a new battery in my digital caliper.
So I guess the short of it is, always use a chain advertised for at least the number of cogs you're using, and if it comes with a quick-release link, you should use a chain tool only to shorten the chain and not to lengthen it?