It can be argued that "right" as in "right side" has good connotations, because it is also the word for correct. In Germanic languages, it is the same word as t

It can be argued that "right" as in "right side" has good connotations, because it is also the word for correct. In Germanic languages, it is the same word as the word for "higher", which arguably also has positive connotations. Then it can be argued that "right handed" has culturally, and through these languages, been given a higher status than being left handed. If I could flip a switch, I would make it so that "their" or something similar was a gender-neutral pronoun, so that we can avoid both sounding sexist and sounding awkward. On the other hand, languages probably have a lot of cultural baggage associated with it that are outdated. But these are artifacts of the history of the languages intertwined with the past cultures that used it; we don't tacitly embrace the old connotations that they had simply by using it in this day and age.