"the staking plan can withstand 48 without a winner"

This stupendous claim conveniently omits a lot of reality.

In fact you don't need an unlikely run of ~49 losses to bust your bank. Just losing ~49 more than expected (for a zero-edge game) will bust you!

But preserving your bank for a long time is still useless. If you use this "Plan" on a negative game then you have a very good chance of soon pottering about in negative territory. With very little prospect of ever recovering back into the black.