I get what you’re saying, but if you have a bad pRNG then starting with the last hand’s deck each time is creating a correlation between hands that would not otherwise exist. I’m not sure that this is particularly better than starting with a fresh deck each time.
If the pRNG is a good, modern one then it is so indistinguishable from random that it doesn’t matter what cards you start with each time.
What concrete evidence is there that anything distinguishable from random is happening here on this site? I’m talking something that happens unusually often statistically speaking over the course of thousands of hands. So far I have only seen speculation and anecdotes from handfuls of hands.