There are currently seven teams scoring 4.80 R/G or greater, here is how their run scoring has varied using the splits available on BRef...
Baltimore (5.10 R/G)
0-2: 13 (21.7%)
3-5: 22 (36.7%)
6+: 25 (41.7%)
Cleveland (5.10 R/G)
0-2: 12 (20.0%)
3-5: 22 (36.7%)
6+: 26 (43.3%)
Philadelphia (5.08 R/G)
0-2: 13 (20.6%)
3-5: 29 (46.0%)
6+: 21 (33.3%)
New York Yanks (4.97 R/G)
0-2: 16 (25.4%)
3-5: 23 (36.5%)
6+: 24 (38.1%)
Milwaukee (4.94 R/G)
0-2: 14 (22.6%)
3-5: 23 (37.1%)
6+: 35 (40.3%)
Kansas City (4.87 R/G)
0-2: 16 (25.8%)
3-5: 24 (37.1%)
6+: 22 (35.5%)
LA Dodgers (4.81 R/G)
0-2: 14 (22.2%)
3-5: 26 (41.3%)
6+: 23 (36.5%)
Even among top offenses, the Phillies 46.0% of games scoring 3-5 runs is far and away ahead of second place (Dodgers at 41.3%). The other five top run scoring offenses are grouped together between 36.5% and 38.7% for 3-5 run games, so the Phillies are an outlier unto themselves (4.7% gap) then the Dodgers (2.6% gap) then everyone else.
The Padres have been the most average-est offense by run scoring matching league average at 4.32 R/G, and their distribution actually exhibits the feast or famine dumbbell shape you are referring to...
San Diego (4.32 R/G)
0-2: 25 (38.4%)
3-5: 16 (24.6%)
6+: 24 (36.9%)