Third style? Answered
I seem to be using a third style of knitting:
I wrap the yarn around my right hand instead of my left hand, looping twice around my pinky, and then using my right hand index to loop around the needle and create my stich. I tried the two styles you proposed, but somehow mine works better for me :)
I first tried knitting with my mum when I was a kid, and I think she was doing it too, so that's where I must have picked it up.