I must remain skeptical about a positive drift from trading random curves...
Well, not only you need statistically acceptable performances under suitable stochastic processes, but I will put it much more bluntly:
"The fact that a trading methodology must be able to statistically cope with a(ny) "realistic" random process is a prerequisite (with no guarantee of success) to be considered at all."
Were "
realistic" is defined here as a random generator of price curves
such that no "expert witness" could exclude any of its realizations or their distribution from actually happening in the reality.
Surprisingly enough, many algorithmic strategies used do not fulfill (not even try) such basic prerequisite. And, even worse, some people obtain curve-fitted parameterizations, by scrambling (searching) the parameter space, but
keeping fixed a few past realizations, thus completely reversing the logic of a meaningful statistic simulation analysis. This is, of course, plain nonsense under a statistical perspective. But often this nonsense is sold as "quantitative methods", and herds of people fall in the conceptual trap.
The reason why you can throw away any trading methodology which fails to be acceptable under random processes is very simple and understandable.
First of all, at macro level, the
mkt will be indistinguishable from a realization of a "realistic" stochastic process (this is simple due to the above definition of "realistic").
At micro level, the participants' orders are processed and prices influenced by algorithms especially written by people like me, whose purpose is just to maximize their profit in statistical terms, which means, more brutally, to "rip off"

as many participants as possible.
So a random process is just and "eden garden" of kindness and neutrality, compared to the "hostile" reactions of the algorithms ruling the actual market. To use a metaphor, if you can't even survive in the eden garden, forget considering living in "sin city".
Any trading methodology not fulfilling the above basic prerequisite is a
curve-fitted delusion (by definition, as it will only work acceptably on the considered past realizations).