A single gain stage always inverts polarity, would you have the manufacturer add a second gain stage to change it back again?
And do you change the polarity of your speakers for each recording the you play? That would be necessary if the goal is to always be in correct polarity. In fact, many recordings that use spot mikes on different instruments will have the sax in negative polarity while the keyboard is in positive polarity, so I would suggest that you change the polarity of your tweeters, midrange and woofer as called for by the specific recording.
And do you change the polarity of your speakers for each recording the you play? That would be necessary if the goal is to always be in correct polarity. In fact, many recordings that use spot mikes on different instruments will have the sax in negative polarity while the keyboard is in positive polarity, so I would suggest that you change the polarity of your tweeters, midrange and woofer as called for by the specific recording.