Vlad - so let me try to recapture your process.
1. You created an initial strategy that gave you a general edge.
2. You filtered it through those studies about market performance and determined it would be best to trade during the "U-shaped" times of day.
3. You then went microscopic and identified very precise time windows that offered statistically favorable probabilities for trading your method.
This is similar to what I've been thinking as well. Test, research, and find certain time windows where there's increased probability. THEN, from that, derive some kind of "trading by appointment" strategy. Sort of, "I'll let the market tell me when is best to trade."
But others, like Quah and Sarasota, seem to be using methods that appear to start out with an idea about time - a sequence of bars, or a time grid - and would then, at those precise times or bars, use other indicators to tell them whether to go long, short, etc. And this seems to work as well.
I'm intrigued that neither Vlad or Sarasota has mentioned using an appointment strategy primarily for psychology/disciplinary reasons, which would seem to be an added benefit of trading that way.