Though I am ambidextrous, I cast and reel with my right hand normally, when I cast left handed I still reel right handed.
There may be something to taking in line faster when reeling with the dominant hand, but in almost all situations it probably will not be an issue.
I suppose if a bone fish were coming straight at you, and you were in the habit of reeling with your non-dominant hand you might have a problem, so if you foresee the scenario arising by all means cast dominant, switch hands, and reel dominant.
As has been said there is really no right or wrong way.
I also switch hands with a baitcaster, but, do not switch with spinning gear, go figure.
It just doesn't matter, have fun,
George