A router is in a whole different neighborhood than a switch or hub.

Right, but if they were referring to one of the new product classes of SOHO internet/DSL routers, it probably came with a 4-port 10/100 switch integrated into it.

I know I'm confusing the description even more by saying it, but I'm actually trying to simplify...

A Router and a Switch and a Hub are three different things, true, but there are times when you will find a product that is a Router and a Switch integrated together, or a Router and a Hub integrated together. If you have a Router with four extra ethernet plugs on it, you're probably looking at one of these combination devices.