As others have mentioned on folding, there are various stages of folding that take more or less time.
It was easier for me to do the first fold on my Airnimal Joey to carry it up some stairs with tight bends than it would have been for me to leave it unfolded when I carried it into a motel room. So, I spent the two minutes to remove the front wheel and fold it. (Shown with normal SPD pedals, not the MKS Ezy pedals I typically use on it.)
To collapse that further if I wanted to get it down to Amtrak size for carrying onto a train, would take several more minutes, would also take a lot of velcro straps, etc. (No straps were used in the photo, I did this level of fold so that I could take some measurements.) Remove the stem extender, lower seatpost, remove the MKS Ezy pedals.
But to fold it to fit into a 62 inch case for airline travel, this is the S&S Backpack case. My Joey is a bit big with the 24 inch wheels, I have to remove the crank arms to fit it, remove the front fork, it packed easier if I removed the cassette from the rear wheel, etc. It took about the same amount of time as it takes for me to pack up my S&S bike for airline travel. Not very convenient.
That said, my S&S bike is a heavy duty touring bike, built to carry heavy loads. Frame is rated to carry up to 60 kg of luggage (not counting rider weight). At the time of the first photo, I think I had about two and a half weeks of food loaded on the bike with my camping gear. Obviously, not all S&S bikes are built this strong, but this one is.