Martingaling does in effect reduce the house earnings dramatically which can be argued is reducing the house percentage (forgive my poor terminology). Perhaps a better way to state this is:
A house with 2% house edge where a single player bet for 1'000'000 rounds motecarlo style can expect ~2% earnings for the entire sum of all bets.
A house with 2% house edge where a single player bet for 1'000'000 rounds martingale style can expect ~0.05-0.01% earnings for the entire sum of all bets.
I don't think our disagreement is one of terminology. Even after you rephrased it, I still think you're wrong.
A house with 2% house edge where a single player bets
any way they like can expect 2% earnings for the entire sum of all bets.
Unless perhaps you're using a weird definition of
expect?
I'd tend to agree with SRoulette and darkmule.
I think you meant to say you agree with dooglus and darkmule. SRoulette is the one claiming that you can change the house edge by carefully sizing your bets.