I am also a leftie, and also have suffered several rugby and skiing injuries to my right arm, so it is not nearly as strong as my left. However, I do play right-handed for the following reasons:

Chord boxes are the right way up;
Likewise, tablature;
I can have a go at almost anyone's axe, rather than having to rely on bringing my own.

Rather frivolously, although I don't play in a band, or with others very often, it avoids "Duelling guitar necks" at the back of the lineup.

Many years ago, I did restring a cheapo acoustic left-handed, and even after drastic surgery to the bridge piece, I had awful trouble with the intonation. A proper acoustic would certainly not have this problem, though.