Comment by SAI_Peregrinus

If it had a practical impact, then it would imply that such statistical tests could be used as a distinguisher to attack the RNG. They fail as distinguishers, even with absolutely enormous amounts of data, so the bias is too small to have any influence in any practical experiment. You'd expect to need to observe 2^128 states to detect bias in a 256-bit CSPRNG, which means you'll have to store 2^128 observed states. That's around 10^20 EiB of storage needed. Good luck affording that with drive prices these days!