Yes.
Some circuitry must remain active in order to detect the button clicks to turn back on. While off the current being drawn is called the “quiescent” (at rest) current. This is the term you will find in the datasheets for the chips being used by these companies and by YiHi in their datasheets for the regulators boards.
Parasitic drain and idle current, IMHO, describe different things. The parasitic current is what is drawn from the battery through unintended leakage or faulty components. What the chips draw when idle or “sleeping” isn’t a parasitic drain because it’s designed into the chip and listed in the datasheet.
The current that leaks through all capacitors, MOSFETs, and other component is parasitic current. The current that flows through contaminants on the circuit board is parasitic. Both of these are typically at the microamp level.
Idle current, for me, is the current being drawn when the device is awake but not being actively used. The screen may or may not be turned on (which significantly affects the current draw).
Parasitic drain has become the popular term for any current draw that we don’t like or can’t account for though and makes it easier to discuss when not sitting with a bunch of engineers.
When I first looked at them I thought these wicks are too short until I realized that plastic shoelace piece slides off giving more length to the wick. Maybe everybody knows that but I didn’t. 
