We have a number of ex cricketers in our club. One is a former club champion off 2 handicap. A few were really good batsmen & have truly hideous swings & big handicaps. Doesn't seem to be any correlation between competence at cricket & golf.
I started golfing aged about 11, right handed. I do everything else, including batting, left handed, so I never confused the two swings. I tried golf both ways. I think I went right handed because it was easier to get second hand right handed clubs in those days. My first ones had hickory shafts!