I usually park with the wheel pointed left. This seems to put more weight on the sidestand and feels more stable on level ground. Turning the bars to the right tends to make the bike stand more upright and makes me worry it will get knocked or blown over to the right.
At least, that's what I thought until a couple minutes ago...
I dug out my digital inclinometer, zeroed it to my generally flat garage floor and placed it on my gas cap to measure the actual angle from vertical on the sidestand.
Wheel to left: 10.9??
Wheel to right: 12.3??
So, turning to the RIGHT should actually be more stable on level ground.
Sadly, not the first time my perception of reality has been flawed.