I hand quilt using Gutermann handquilting cotton. I have no experience with the Connecting Threads products (I am in Australia) but I did look at the site (thanks for the link).
The thread you were looking at appears to me to be machine quilting thread. Handquilting thread is a bit thicker. I found an interesting thread tutorial, while I was browsing their site. It explained which threads go with which applications. Here's the link:
http://www.connectingthreads.com/tut...read__D89.html