1) You personal preference on what types of players you enjoy watching is fine. I completely understand the aesthetic to those types of players.
2) It's not difficult to quantify which player is better between those who have a different style of playing
3) Games are played because these players still have to actually perform
The disconnect here is that there is a difference between what some fans enjoy watching and what actually wins baseball games. Contact and speed is pretty and exciting. Sometimes those players don't do **** for you offensively (Juan Pierre) and sometimes they do (Ichiro). Sometimes high strikeout mashers are an absolute black hole (recent Chris Davis seasons) and sometimes they can carry an offense (Adam Dunn most of his career). That's the beauty of advanced stats. They take the aesthetics and your personal feelings out and just give you raw performance. And that performance is what fuels teams to victory.