Game is really for real life. On dating sites people have way more time to make conscious judgements and react to the environment they're in. Information is mostly presented without the context of personality and charisma which are import aspects of game. Genuinely communicating those things in writing is beyond the ability of most people, men & women alike. Between the nature of an alien environment and how people behave within it all the normal rules are turned on their head.
An interesting point in what you've wrote is whilst the general consensus is that girls don't search because they don't need to, clearly your huge influx of email shows they do. People make the mistake of making assumptions purely based on what they see and fail to consider different initial conditions may lead to different behaviour.
Girls make similarly bad assumptions. A widespread female belief is that men don't read profiles, but I've known of attractive girls with intimidating profiles that get a lot less mail. These 2 positions don't add up.
When you know the range of possible behaviour its easier to work out where you're going wrong and formulate the best strategy.
for instance you can't lie too much about your height or salary but you can fudge it a little to put yourself ahead of some of the competition and then make sure you're writing to girls who won't be able to tell the difference. Equally if you don't have the upto bat looks, you just have to manipulate your image enough to have girls thinking you do. Girls do that all the time with their cunning overhead pictures. Like if you had crazy hair and wore a hat no-one would be thinking about crazy hair.
