Not such a crazy idea...
The design of the Bearikade might actually make this a reasonable option. The two ends of the Bearikade are nearly identical. The exception is that the metal "band" that is on the "top" has a removable inner lid where as the "bottom" is practically the same band welded together as a solid piece.
I suspect the weight difference would only be a few ounces... and about the only reason I bet Bearikade doesn't offer this as an option is because it would technically be a different design and they would have to go thru all the approval process again... likely not enough demand to justify such a cost...
Either that, or they've tried it and BOTH ends not being solid changes the strength of the canister and no longer able to resist crushing forces (hence the reason a design change like this would need additional testing... the sort of things you have to keep in mind when designing).