I don't think our disagreement is one of terminology. Even after you rephrased it, I still think you're wrong.
om nom nom, yummy humble pie.
Dooglus thanks for persisting I now appreciate the value of running 10 trillion simulations vs 1 million

Codemonkey also had several attempts explaining it to me but I didnt appreciate until I saw some raw stats.
What casinos should be careful of is that a large bet range coupled with a low house edge can increase amounts of rounds (and bank) required before the houses average earn smooths out.
Some gambling systems we are simulating require more than 1 trillion rounds for the casino to get its average earn matching the house edge within 10% each round.
I fired off a big simulation last night running all gambling systems but unfortunately it crashed out, 8 cpu cores at 100% and a hot room is not good

I will fire off another simulation tonight and share our results.
CodeMonkey says he may be up for releasing his simulator to the public once he has finished cleaning up the code.