When I was learning to fly I found I had a tendency to land left of the runway centreline which I suspected was a carry over from driving.
I’ve spent most of my instructing career in Canada and landing to the left of the centreline is a most common error, almost no-one lands naturally the right side of the centreline. Sometimes I have asked students to deliberately land to the right of the centreline, and this usually results in a landing on the centreline!
In Canada I use this fact to tell the students that driving on the right side of the road is un-natural.
As for head on, yes alter heading to the right. When flying a Bleriot or a Boxkite at indicated airspeeds around 35 knots, you have plenty of time.
In today’s airspace most people fly at higher speeds, and so we must assess the situation quickly and take the best avoiding action.
Depending upon the angle of your head on traffic, and the time available, the best action might not be to turn right.