Despite the non-existence of children in that video, don't forget they still sell a lot stuff to children. My kids aren't old enough to be running around with 3DSs with all their friends yet, so I don't know how prevalent it is in practice. But if everyone who had a Wii could also that easily pick it up and cart it somewhere, that would be a huge network effect compared even to the 3DS. There is a very good chance this could become a Thing for that age group, and given how children are, it could simply become expected that you have a Switch.
Also... since no one else has mentioned it yet and it's not really worth its own comment... this is a wildly better name than "Wii". The Wii was a success, but I'd say in spite of the name.