I think you've framed the argument well, but I think you've done it from the vantage point of a competitor. To me, the subject of alternate break is one in which what the players want must come second to what makes pool a more entertaining sport for the viewer.
As a fan, I like winner breaks better, but I understand where those who prefer alternate break are coming from.
Many on this forum would agree that the most electrifying pool moment we've seen in pool in our lives was when Wu Jiaqing came to the table down 16-12 and ran out the match for a 17-16 win in the World Pool Championships in 2005. That can't happen with alternate break. The fans like packages.
also shane's WC comeback against immonen last year, he was down by a lot but turned it around.
i suppose lil ko's semi at the US open could be a counter-argument, but yapp had turns at the table and what ko did is extremely rare.