RNG vs actual Dice Rolling
A random number generator will always be different from actual dice rolling, and that's including only legitimate dice rolls. I think the game needs virtual dice that people can physically click and shake with their mouse. A minimum roll could be programmed to be a legal roll. These are very basic game physics with loads of open source content available to make happen.
Furthermore, it could be a cool be a small thing for the company to make money off of, by providing purchasable dice throwing animations. Something that doesn't affect the gameplay.