You really need to do alot more reading and alot less arguing...Especially about something as trivial as a sabermetric vs traditional approach to lineup arrangement -- which is something that is still IMPOSSIBLE to "prove" in an individual circumstance. All you've done here is take circumstantial evidence and set up scenarios in which your ideas work best -- while ignoring the scenarios in which they fail. You are looking at this strictly as "maximizing a player's output over the season" -- in this case Renfroe's -- but you are ignoring how that arrangement affects the other 8 hitters in the lineup.
You should approach this as the ability to research scenarios -- and present that research without always having to throw in an opinion. Your numbers (overall) have been solid all along -- but your approach has been as bad as it could possibly be.
Here, it is clear that Florida employed the only purely sabermetric lineup of the entire group. Clean curve in RBI production all the way across the board(and they maximized that production in the 3-hole). The rest of them experience a spike in rbi production from the 7-hole that doesn't make sense from a purely sabermetric perspective. The Braves' lineup is a nightmare from a sabermetric perspective...
Personally(all trivial, again), I like Renfroe in the 3-hole, because he has the speed to score from first on an extra base hit from the 4 and 5 holes. What we lose in RBI opportunities with him batting third, we gain in runs scored opportunities. Rea certainly does not possess this ability to score from first -- thus you never, ever hit him in front of Renfroe. Does Detz possess this ability? I haven't seen him enough yet to truly know. If he does, then IMO at this point you can use he/Renfroe totally interchangeably in the 3-4 holes with Rea in the 5 spot -- which I'm unsure if we end up seeing or not. Either way, whoever hits behind Rea is getting screwed from an RBI perspective, that much is a fact. From there on down, it gets even more trivial...