I've worn quite a few of both the waddler overnights and the preschools, and while the panels have a very similar matte texture feel to them, the tykables tapes seem to stick very well for me. I've had many waddler and tighty whity tapes pop on the other hand. I know there's a fair amount of selection on tapes for disposable diapers - I see manufacturers occasionally comment that "we only use the good 3-M brand tapes on our diapers!" so I assume there's a noticeable quality/performance and price difference between the available tapes they can choose from. Waddlers are probably just going with a cheaper tape that's not as sticky, more prone to breaking.
Oh....and when I nip off to the restroom to reel in a tape on my preschools, omg... quite possibly one of the loudest tape pull-offs I've ever heard. I wonder if they hear me from out in the hallway sometime!