mvivion
FOUNDER
Bozeman,MT
Flying a Cub into and out of a lot of controlled airspace and towered fields, two of my favorite words are "abbreviated" and "modified."
In the straight-to-the-numbers scenario above, I might report a "modified left base RWY 27." For the short pattern, I might request an "abbreviated left downwind." The expectation on the part of controllers and other pilots is (or should be) a standard pattern, and anything I might intend to do non-standard should include a modifier in the radio call to give others the awareness that I intend a non-standard maneuver of some sort. It's worked well over the year, just include one of those two words (or another like it) and if the controller doesn't understand what you mean, they will typically ask you to clarify your intent.
Except in your second example, the term abbreviated does not imply a short approach. Unless the controller specifically uses that term, you're required to turn base beyond the threshold of the landing runway.
Using "homemade" terminology is no substitute for the approved terminology, unless your purpose is to confuse and or piss off a controller. Why make stuff up when there's very clear and concise terminology approved?
MTV