Thanks for this.
I'm curious exactly where you went on BR for the run support splits. They used to have handy scoring charts that showed for each team, and for the leagues as a whole, both the number of times they scored (and allowed) a certain number of runs and the W-L records when scoring that many runs. Those went away last year.
Before I saw your post I took a swipe at this and sliced it a little differently. For one thing I set the lowest bucket at 0-3 runs because I have always considered these "low scoring games". This was based on the BR tables and win probabilities that showed 4 runs as the point at which the win probability reached 50%. Then, because this started with a fact about scoring 7+ runs, I set that as the high run bucket with 4-6 runs as the middle bucket.
Using the game by game results on BR and sorting by runs scored I came up with these numbers for the 7 NL teams that are currently scoring above the league average. As things stand now these 7 teams are the leading contenders for the 6 NL playoff spots. Here they are in order of total runs scored with the High/middle/low bucket numbers:
LAD 12 19 7
ATL 8 17 9
PHIL 11 16 11
AZ 8 15 15
MIL 13 7 17
SD 9 13 18
CHI 10 10 18
I made a statement on a thread a week or two ago that the Brewers run distribution graph looks more like a dumbbell than the expected bell curve with a tail to the right, and these numbers bear that out.
While having the most games scoring 7 or more runs (and several more than some of the teams) they have a strikingly low number in the 4-6 range that I would expect to be higher, and is higher for the top scoring teams (Dodgers, Braves, Phillies). What makes those teams great is not so much having a lot of high scoring games as avoiding too many low scoring games.
The numbers for the DBacks, Padres, and Cubs are more similar to the Brewers, especially in the low bucket.