I would not trust the random walk theory with my money, nor with a risky investment like Bitcoin (you need to know when it's good time to invest). I'd give a good example, the pattern Bitcoin price usual takes after a halving is a prediction with a premise somewhat, a shrewd investor will rather follow that path, accumulating before the halving and waiting for the next 6-12 months to see if the pattern repeats itself, it very well could/could not, but what I know is it's an Investment that's based on a pattern that has been experienced before, chances are higher of it pulling through.
Random theories are just more or less lucky guesses, I'd rather be researching into an asset I want to invest in, be it stocks or cryptocurrency, to get an understanding of the market and even if not for the immediate profits, but so I'll be productive in that field in the long term. That being said, true random guesses could give you profits some time, but if you learn all there is about an investment market, you can always make profits for a lifetime.