Even if there is edge in higher order greeks, that edge goes away after considering transaction cost (both commissions and wide b/a), high tax imposed on short term capital gains and cost of leverage.
In general Mr. Muppet post is good one where he points out the folly of the most option educators.
There is no edge in higher order greeks. Higher order greeks help you to manage a position that conserves the edge you gained from selling high/buying low.
Let's say you sold a call 10cts over fair value, how are you going to realize your profit? Well you can say "I wait till another guy wants to buy at fair value"...what if the market moves until then? "well I just hedge delta"...what if time goes by, skew changes, volatility goes up, yada, yada??
"well...ermm I have no idea, I just hope that somebody will take that darn thing out of my hand before that happens"
Thing is, during pit days a lot of pricing could be done with synthetics or no arb criteria. Today good luck with free calendars or butterflies.
I look at the butterfly curve, 20 delta skew, ATM straddle values, etc. just to see were vol is cheap or rich. Flow helps, too, like is the combo traded (puts sold/calls bought or vice versa), is the fly traded (body sold, wings bought), is vol traded (puts&calls bought or sold).
This is how I trade and how I find edge....not how I manage positions. I want to have a position that is as neutral as possible so I can realize the most of my edge.
And the better I manage not to lose money due to an idiotic position, the better, so I make sure I'm as neutral as possible while I buy cheap inventory (Vega) that I can sell out later again.
I don't care were the stock is trading, I don't have an opionion, I have my model that tells me what and how much to buy, the rest is discretion.