Talking about dice game, if the original martingale isn't effective how far the modified one? Still they are playing under the provably fair system "in every rolls" so nothing changed. Martingale is not a technology that can be modified. The output of martingale will always be the same.
If you are looking on how can you increase the chances of your winning by using martingale then try sports betting instead. It's far more effective in sposts betting than putting that method in those house edge gambling games. The analyzation of course will come on yourself based on your research and proper betting. Not an assurance that it can give you always win but it can take your for a long run with a good win/loss record.
in every type of betting high odds has a low chance of winning. That's how casinos make money, by paying out less than the actual odds.