I treat girls online the same way I treat girls offline, now, that is not to say that it's the exact same treatment that guys get but it's not like I go out of my way to be different with girls online.
The difference would mainly be me holding back the dirty jokes and trying to not be perceived as a jerk, while when with guys I don't mind being perceived as a jerk cause quantifying my skill and showcasing it in a way they can't deny will work to garner their respect, while if a girl thinks you're a jerk, you're a jerk, no matter how good you are at something. Simply put, guys seem more able to respect someone they dislike, girls tend to have their feelings about someone color their entire perception of that person, so I have become accustomed to taking that fact into account when interacting with the fairer sex.
It's not ideal but it's not an ideal world so we do what we have to do.