this is nonsense. the smoother and more continuous the price function is, the better these kinds of indicators work. remember calculus? the slope of a curve at a point is very, very close to the slope of a small line segment defined by points close to that point. EMAs basically track the relative slopes of differently-sized line segments, attempting to quantify the instances in which the rate-of-change in the short-term diverges from the long-term, or average, rate-of-change. other indicators, like oscillators, do even more fancy tricks and can be used to predict reversals as well.
The price function is neither smooth nor continuous. You can make it smoother and more continuous by removing information. Removing information makes predictions worse, not better.
The truth is that these indicators do not work because they are flawed. The major flaw is this: a moving average introduces a lag that depends on the size of the window (this is why the moving average graphs always appear shifted to the right). When you compare two moving averages with two different lags you get noise that people misinterpret as signals. If you fix this by shifting the moving averages to remove the lag, then the best you can do is predict the past.
you're correct, the price function is stochastic, which is quite far indeed from the smooth functions standard calculus is used to deal with:
the further in you zoom, the more and more it resembles a random walk. however, contrarily, the further out you zoom, the less and less it resembles a random walk. this is not an accident, or an artifact of the "removal" of information.
case in point: the obvious uptrend is actually perturbed by the "noise" of market inefficiency. bubbles, selloffs (greed and fear, respectively), and other anomalies are affecting the price and masking an underlying trend. in this way, the main goal of the technical analyst is to strip away the noise to get at the information about the market that is hiding in price and volume data.
the trick, of course, is determining what is noise and what is data. this is the art and science of market analysis, the discussion of which must be saved for another time.
that being said -- and hopefully clearing up why it is almost always beneficial to "smooth" price data in some way -- i do believe you are missing the point of moving averages. you can change the size of the "window" to produce any kind of crossover you wish, and for traders who don't realize this and blindly trade using that one signal, you're not going to have a good time. however, this does not invalidate the fact that moving averages are an extremely useful graphical interpretation of the different rates of change hiding in the price function whose interactions mark tops, bottoms, and inflection points.
-- arepo