You state this as a fact but it's backwards. If there was any kind of "memory" in a dice game it could be exploited by the casino or by the player, who could keep betting on numbers "far away" from the previous number to increase their chances. It would be over very quickly, most likely due to the casino going bankrupt. But fortunately it doesn't work like that.
Do you think the roulette wheel has memory too?
Its not about being far away from previous number, but the number of roll since the last occurrence of the number.
If there is 50 rolls without a one, you can still have more chance winning playing one in the next rolls.
But it will rarely reach even 50 rolls, and on the large number of roll you will still come back to average.
It cannot be exploited by casino because it will stay constant over long period of time for any number.
I hope you're not saying that casinos should use something like this. In the long run a good PRNG should approximate Poisson distribution and I believe certified RNGs are tested against it as well as many other statistical tests. But the RNG algorithm itself should not be based on it.
Online casino should use better algorithm, not sure what is the regulation or when an algorithm should be considered fair. The standard RNG will not necessarily have a poisson distribution, maybe it does maybe not.