Prototype RRs break up the locomotive consists based on power needs and have for a long time. Generally B-units were not run alone, but A units were. On road trains, in the F-unit era, generally at least 2 unnits were needed based on their HP. So A-B sets etc were more the norm. Roadswitchers were common single units on freights.
In the modern era I see trains now with only one unit, or one unit on the front and DPU in the middle or on the rear.
On my layout, I generally don't run F-Units or Alco FA-FB as singles, mostly because of looks and I assign them to longer trains. I have some sets of road switchers - RS3s, GP9s, RS11s that are sometimes run as sets and sometimes by them selves. I try to put road switchers on the locals but sometimes an A-A set. If there is about 10 or less cars, it is generally 1 unit. If more than that most often 2 units. I have 1 1/2 percent grade and if the train is too long, one unit can't get it up the grade.
I only have one set of 3 units - an A-B-A set of Baldwin sharks. I run mostly 2 units road trains because 3 just looks loke too much for the train involved.