I can't find my copy of blackjack attack, but I went back and looked at burning the tables.
On the simulated game in the book, "correct hi-lo" strategy had an advantage of .89. This is where play is strictly by the book.
Restricting bet increases between any two hands to only doubling, and bet decreases to halving, drops this notional % advantage .74. Note that the bets are still increasing and decreasing with the count, but the rate at which they change is being throttled. However, this "base" playing style also includes intentional mistakes of always taking even money, always standing 16v10, and not doubling 10v10 or splitting tens in high counts, so I don't know how much of the win rate degradation is due to betting, and how much is due to playing (probably mostly betting)
Adding the restriction that bets can only be increased after a win reduces win rate from $228 to $170, and the advantage drops from .73 to .67
Conversely, the restriction that bets can only be decreased after a loss reduces win rate from $228 to $220 (must smaller drop), but the advantage % has a bigger drop, from .73 to .63 (more larger bets are being placed... volatility goes up too).
Anderson's Ultimate Gambit is all about preseving longevity and gross hourly win rate. It is NOT about keeping a high % advantage or reducing volatility. This is because, for our purposes, his bankroll is infinite. And when your minimum bet is at least $100, the win rate is going to be high enough anyway where you're not concerned if your advantage is under 1%.
Personally, at my much smaller betting level, if playing somewhere where I'd like a little longevity, I incorporate some, but not all, of the bet restrictions. For instance:
- I will generally not change bets on a push
- I will increase bets on either a win or a loss
- I will generally only double bets upward, unless I win a BJ/doubledown, where I will increase by more if the count calls for it.
- I will generally only decrease bets after a loss, unless I have an opportunity to "cheat" by dropping from two hands to 1.
- I will generally halve bets when decreasing, but I'll usually cheat by rounding down a unit if the opportunity presents itself
- If I have an elevated bet out at the end of a shoe, and don't lose, my first bet on next shoe could be anything between that and my minimum.
Even steps like these could very well be unnecessary at the green chip level. On the upside, one local place that I really would think would be sweating my action hasn't shown signs of it. On the downside, the downward bankroll swings really suck (which might be part of the reason the casino doesn't seem to care).