Doubling Strategy

When the dealer has a low card, the basic strategy calls for hitting rather than doubling in certain circumstances, such as when the dealer's up card is an 8 or below. But the strategy also calls for standing when the player has 12 and up on a dealer low card [except on a dealer's 2 or 3 against the player's 12]. So basically, when the dealer has a low card, you are basically betting that they will bust, because you're not going to beat them with a 12-16 because they have to hit until 17. SO, if you're betting that they will bust, why not just double ANY hand 11 and under on a dealer's low card? Assuming that they will probably bust?

Thanks!

Because they are more likely to make a hand (17-21) than to bust.

You are not standing on a 12 because you think the dealer will bust; you are standing on 12 because it is a better play than hitting on the 12, given that 4/13 of the time, you will draw a 10 or face card and bust, and also 4/13 of the time, you will draw an Ace through 4, and still have a total less than 17, so you didn't really improve your hand.

Another way of looking at this situation:
Bust rate for banker showing up card of 2 is 35%
3 is 38%
4 is 40%
5 is 43%
6. Is 43% ( Mensa guide to casino gambling, page 50 )
So you will be losing 57% to 65% if you stand on 16 and below. Not a good strategy.