I'm very particular when it comes to mowing my front & back yard and I'm the only one that does it. I do the same thing about the angle of the cut. I cut it lengthwise one week and then the next time it gets cut at a 45 degree to the prior cut. It should be cut at 90 degrees but that would be too hard to do on my yard.
All the other grass, my wife gets on the Kubota and mows the other 4 or 5 acres with her iPod on just singing away in no particular way. She says it is great stress relief and I would have to agree, I like cutting grass.