Blackjack streak side bet

It seems that the basic strategy is not the optimal strategy against the blackjack streak - eg: player should never double on 9 or 10 against dealer up card 2,3,7,8,9. etc. I wonder what is the proper strategy against blackjack streak, esp on split hands and what the house edge would be if you play optimally?

The rules at a local casino in concerning split hand is base on number of hands won - not units won; (eg: player split once, double hand 1 and lost; hand 2 beat the dealer; although there's a net loss, it's only consider a push for the purpose of streak bets as it's base on hands won / loss, not units)

Many interesting scenario would come up on split hands; to keep things manageable, let's assume infinite decks and S17. Example on a counter-intuitive scenario:
Dealer up card 5, player split 9's and drew a 10 to first hand - resulting in 19 and stand; hand 2 draw a 3 for hard 12.
Conventional wisdom suggests stand on the 12;

Dealer	Hand 1	Hand 2	Streak-Bet	Prob
17	19	12	Push	0.122251285
18	19	12	Push	0.122251285
19	19	12	Lose	0.117699624
20	19	12	Lose	0.113147963
21	19	12	Lose	0.108246173
Bust	19	12	Win	0.41640367

Win	0.41640367
Lose	0.33909376
Push	0.244502571
W/(W+L)	0.551164906

But if the player draw 1 card only to hand 2;

Dealer	Player H1	Player H2	Streak-Bet	Probability
17	19	13-16,Bust	Push	0.07523156
17	19	17-21	Win	0.047019725
18	19	13-17,Bust	Push	0.084635505
18	19	18-21	Win	0.03761578
19	19	13-18,Bust	Lose	0.090538172
19	19	19	Push	0.009053817
19	19	20-21	Win	0.018107634
20	19	13-20,Bust	Lose	0.104444273
20	19	21	Push	0.008703689
21	19	13-21,Bust	Lose	0.108246173
Bust	19	13-21	Win	0.288279464
Bust	19	Bust	Push	0.128124206

Win	0.391022603
Lose	0.305748778
Push	0.303228619
W/(W+L)	0.561192112