I have seen that video, what I do with my 4 Tape Diapers (besides Tykables Overnights) is put the lower tapes on kind of loose so I can slide the diaper on, then I put the top tapes on snug, and then i redo the lower tapes for a snug fit as well.
That said I am almost always enjoying my diapers at home, and when I do go out diapered and use it, I am never out long enough to need to change until I am back home.