I like the Noe a little more, because it works better for both casual and slightly dressier outfits. And the Noe, even with the strap not removable, looks exactly the same worn than sitting on a table. It also has less vachetta to worry about.
The Speedy is very cute but I feel that with the non-detachable strap you don’t get the full cuteness of a miniature Speedy because the handles are flopped down when you wear the bag. It would be so cute as a handheld but the strap kind of gets in the way. I do like the zipper though and it fits a little more than the Noe.