Its far from "random". You are just running the "good stuff" that wins games. I think you mean inconsistent. Yes, if you could solve the consistency problem of the professor, you likely have cracked the ID.
Which you can get around with cards like medium, parasite, David, running clone chips, clot, Lady and possibly faust.
I don't think running 19 influence worth of quality programs that almost any deck would run if it could is insignificant.
That is not counting possible datasuckers and anarch breakers, which could bring the total as high as 20.
I agree Rebirth isn't going to fix Professor. But that is because I don't think he is that far from being fixed. He is just looking for something to help out his consistency and small economic problems.