It's not about being market neutral. Instead of shorting 100 IWM and 1 sep 70 put, you could've just shorted 1 sep 70 call and have the same exposure. Also, instead of buying 100 DIA and shorting 1 sep 125 call, you could've just shorted 1 sep 125 put. Why make 4 trades and pay 4 commissions and slippage, when you can make 2 trades to achieve the same position!?
It's convertible. Shorting the underlying and the put is synthetically equivalent to selling the call (same strike) outright. I am selling the 170P when I go long 100 IBM and sell the 170C. The difference between the two positions is the conversion arbitrage. I realize you're stubborn, but it's more important that you "get it" then concern yourself with the additional $10 in commission and slip. You are short a naked put when you buy XYZ and sell a call.