ATM straddle vs. delta neutral straddle

[MTE]

Quote from coolraz:

Thanks, that definetely makes sense.

Now if I wanted a market neutral straddle (where the P/L would be the same if the undelrying moved -5 or +5, for example), should I try to put on a DELTA NEUTRAL straddle or should I just go with at ATM straddle? Because in the ivolatility.com P/L analysis, the ATM is skewed towards the call (i.e it would be more profitable at underlying +5 rather than -5), and only if i match put/call deltas for delta neutral does the P/L graph look to have equal P/L at +5/-5

I am currently paper trading the two to see the difference between the two for myself, but any theoretical reasoning would be apreciated!

coolraz, as hopback said it above:

Quote from hopback:

...It seems alot of people are getting really tied up in the greeks without a real need for it.

Why do you need a straddle that will be completely symmetrical? And even if you do set it up there's no guarantee that it will be cause the volatility may change assymetrically as the stock moves.