if we are going off european sets and other usa sets like the wii u version of simular controller bundles.
They did not have a standlone retail wii controller box just a matching loose controller with a jacket and some sealed batteries
you just have a layer of protective packaging for it and nothing else and the manual for what it's worth. i guess the plastic baggie for the manual could be missing 
there are plenty of sales listings, if it truly had some kinda box it would have been shown. but again simular bundles with better pics having nothing either.
The item in question concerns the US release for one specific item. Trying to compare it to another regional release or another item altogether isn't helpful. Conclusions can only be made by observing items individually.
It's clear that the box that clairesgames has supplied with photo evidence is not a retail box but instead a box within a box. I've only been able to identify two opened copies of this specific variant—by no means are there "plenty" copies to observe at this moment. With that said, neither of those listings show this inner box, though they easily could have been discarded. In time, it's likely that more concrete conclusions can be made, but that will require waiting for more open copies to be listed on secondary markets.
I strongly disagree with not comparing different products when they literally do the same thing, controller bundle + game of a very simular series with comparable advertisment. they will match in most cases it's a very logical assumption to make.
those other items have the very same shape and all don't come with boxes. you can assume that it will most likely match all those other examples. not guaranteed but it probably is the same we got tons of items that have matching packaging there is often a pattern. and I've seen far more than 2 listings of the us wii party. check old solds and use different sites and you'll get far more examples. none show boxes if it was that notable and since it doesn't go for dirt cheap if it had a box some listings would have shown it.
only thing the above guy is missing is the plastic baggie for the controller manual from the looks of it.
also in terms of the insides those are just cardboard inserts. and or could be stuck to the box but I'd assume you guys meant an actual box and not just cardboard inserts which all those other variants will have aswell to make it fit and not have a ton of empty space.