I personally like to see "Winner Breaks" for many reasons.
First and foremost, it is
tradition. It has always been "Winner Breaks" for a looonng time. Why change to "Alternatate Break" when there is absolutely no proof that it is better for the game?
Secondly, as a fan, I find it exciting to watch/witness a player able to put together a string of racks. If someone catches a gear, he/she could become legend. Case in point, when Archer matched up with Busta in Ohio a long time ago, he did a 13-pack Break-N-Run to win the set (13-0).
That is history legend and is still talked about today. (I know, Archer is already a legend. But you get the idea. By the way, will somebody finish the punch line on this story?

).
In the ideal world of "Alternate Breaks" format, both players would do a break-n-run which would lead to a Double-Hill match. However, this is as rare as the ideal world of "Winner Breaks", where one player puts together a long string of racks to get on the hill. Then to see his opponet also put together a long string of racks to get to Double-Hill.
Anyway, pool is such a difficult and skillful game enough as it is. Why creates "alternate break" to separate the playing field even more?
I would like to see someone doing a research to find out if which format creates more Hill-Hill matches, "alternate break" vs. "winner break". I am curious what the percentage will be.