From my understanding, lottery terminals in many jurisdictions have their own RNGs, which are often limited in their randomness. Quick-picks are for convenience, and shouldn't be relied on being random.
It's very possible that some types of terminals may generate more random numbers than others. For example, in Pennsylvania, retailer operated terminals (WAVE) verses self-service (PCT) are somewhat different. The differences may extend to the RNG software and its implementation...
It may be worthwhile to play split one's quick-pick play across various types of lottery terminals and/or generate some of their QPs using Lottery Post's QP generator (it's very good, but not certified random) and/or via other RNG services some of which utilize outside factors (ie. atmospheric conditions, radioactive decay, etc) to generate random numbers.
It's important to note that Fast Play tickets and some types of jackpot game tickets are generated by a central computer. For example, PA Fast Play tickets are generated from a central randomized list (not truly random, but more akin to how instant tickets are sequenced; fixed number of prizes total and by tier) and PA Match 6, which may generate the additional 2nd and 3rd lines for each play from a central computer, which would make sense to me, but not certain on that.
For numbers games, how QPs are generated basically doesn't matter in regards to the odds of winning. Same, regardless. Where it can matter is splitting a jackpot prize with others. Some have commented on PA Lottery QPs for some games trending low, which could have the effect of increasing the chance of winning a split jackpot with others instead of winning the entire amount alone. Higher numbers (ie. above 31) and various distributions will have less chance of splitting.
Finally, it's possible on many terminals to select some numbers yourself and then allow the machine to QP the remainder for the same play. Just did that today with a Match 6 ticket choosing 3 numbers myself with the remaining 3 QP. Best of both worlds.