Well I’m glad I am not the only person having some difficulty with the whole double concept. I was starting to feel a little embarrassed asking you to explain the same thing over and over again.
Is the main reason you are incorporating the doubles to protect you against the long streaks? Have you tried my suggestion in regards to backing off after 3 losses in a row? This would obviously protect you from the 22 in a row streak.
You might be destroyed by the “two two’s” pattern (RRBBRRBB) but there are ways to protect yourself against that with a few minor modifications.
I also recalled another interesting Labby variation called the “Midas Method” from the book by the same name. You might find this of some use. After several losses in a row the author would bet the table minimum. I don’t see why you could not change that to a zero bet unless the house decides you can’t sit and play unless you bet. Anyway, it would look like this. I will use the line 1,2,3,4,5 just to demonstrate. (I am going to assume that the table minimum is $10 and that 1 unit =$10.00.) After 3 losses in a row the line would change in the following manner. 1,2,3,4,5,6,7,8. So, instead of making the next bet of 9 units or $90.00 just bet 1 unit or $10.00 (The table minimum.) until you win a decision. Then return to your progression. So, if you lost 3 more times the line would change to 1,2,3,4,5,6,7,8,1,1,1.
As I mentioned you could use the zero bet in the following manner. 1,2,3,4,5,6,7,8,0,0,0.
You can also come back to your line after the wins start and shorten it to improve on the “1 win wipes out 2 losses” benefit of the Labby. So, for the first line add the three 1’s back into the line either at the beginning or the end. It would look like the next two examples. 2,3,4,4,5,6,7,8 or 1,2,3,4,5,7,8,9. The zero line will kind of take care of itself.
Using this method the 6 losses will be wiped out by two wins and as many as eight losses could be wiped out by that same two wins.
Just an idea.