There's no difference, and there's no incentive to do so:
If it was in bad faith, then people would call them out on it pretty quickly.
If it was to provide some marketing edge, like say adding a feature that only works with a certain pairing, maybe one or two games might use it, but most will skip over it. From the combinations you listed, they would have 1/6th chance of someone even having the combination assuming equal distribution of parts. But once you weigh that chance with the actual distribution, it'll likely look worse.