The person you are quoting is indeed contradicting himself, however when it comes to the martingale strategy there is a lot of evidence that has proven over and over again that it does not work, it does not matter how small your initial bet is and how high your capital can be, martingale is a strategy in which sooner or later you will lose all your capital if you play for long enough, now it is a strategy which may give the idea to the gambler he is in control as it seems so unlikely to lose so many times in a row, but the more you gamble the more likely this outcome becomes.
In theory, the martingale strategy works and there is no reason why it won't. It's simple math, you keep doubling the bet amount till you win and recover your previous losses plus small profit, rinse and repeat.
But in practice, it won't. Not only because at some point you will not have enough money to double your previous lost bet or because of the house edge but simply because casinos' owners are smart. They know about those techniques and they have precautionary measures to be sure it won't work.