Hi, I assume you are a FX quant. Most banks use their own proprietary method to compute this "fudge" factor, which kind of explain why no one is responding to your mail

Weighing your replicating portfolio by the no touch prob will not get you anywhere close to the market except for certain cases of knockouts (not the reverse kind) but even then, it does not work well for all knockout cases. The earliest users simply use a factor like 0.5 over a range of one touch prob for options with parity, whch still seem to work reasonably for low skew ccy pairs like EUR/USD. The challenge is to make it work for USD/JPY. I believe most banks are moving on to stochastic volatility models but getting an accurate heuristic model working is worth the effort as you would want to calibrate your stoch vol model to market barrier prices. The latter can be obtained with some confidence from your heuristic model without the need to consult a broker.